bluuebunny/crossref_metadata_2025 huggingface dataset:
The timing of aeolian events near archaeological settlements around Heidebos (Moervaart area, N Belgium)
Authors: Derese C. , Vandenberghe D.A.G. , Zwertvaegher A. , Court-Picon M. , Crombé P. , Verniers J. , Van den haute P.
Published: July 2016

At the locality of Heidebos (Moervaart area, N Flanders, Belgium), a sedimentary core was taken in the Maldegem-Stekene coversand ridge and dated using optically stimulated luminescence (OSL). The study aimed at contributing to an improved understanding of the evolution of the physical landscape around archaeological settlements in this area. The core comprised a 7 m thick series of laminated and massive aeolian sands, in which several organic layers were intercalated. From this sequence, 11 samples were collected for quartz-based SAR-OSL dating; an internally consistent dataset was obtained. The ages of the lowermost 1 m of the sedimentary sequence (15.5±1.1 ka and 17.3±1.3 ka) imply that these sediments may represent the time-equivalent deposit of a deflation phase that occurred during the Late Pleniglacial and led to the formation of a widespread desert pavement, regionally known as the Beuningen Gravel Bed. However, a significant part of the sediments (at least 4 m) was deposited later, i.e. during the Allerød and/or the Late Dryas. As such, the results allow establishing the genesis of the coversand ridge at the Heidebos locality on the basis of direct age information. The relatively high sedimentation rate and the absence of extensive soil formation in the record reflect periods of pronounced aeolian activity and landscape instability during the Late Glacial, which provides part of the environmental framework for human occupation in the area.
Settlement and land use on crevasse splay deposits; geoarchaeological research in the Rhine-Meuse Delta, the Netherlands
Authors: van Dinter M. , van Zijverden W.K.
Published: July 2016

Until recently, most archaeologists assumed that human occupation of the Dutch river area in the Neolithic period and Bronze Age was rare and predominantly seasonal. Settlement and land use were thought to be limited to abandoned alluvial ridges and aeolian dunes. However, recent archaeological research revealed that Neolithic and Bronze Age human activity occurred at many locations in the Rhine-Meuse Delta. Human settlement and agricultural land use in the Rhine-Meuse delta from at least 3200 BC to 1100 AD was much more common than previously thought. Crevasse splay complexes of active and abandoned river systems proved to have provided favourable sites for settlements. These elevated areas were suitable for agriculture, as they were fertile, easy to plough and possessed suitable hydrological conditions. In addition, people could exploit the surrounding floodplain for hunting, fishing or herding their cattle. Furthermore, the river or residual river channel was near for transport. From the start of the Middle Bronze Age B (1400 BC) occupation of crevasse splay deposits in the delta was widespread. Farmsteads were built on splays that varied in size and morphology. Some locations were abandoned after a few decades, while others remained occupied during a much longer period. During the period of occupation, the crevasse splays gradually lost their relatively high position in the landscape due to subsidence and ongoing sedimentation on the floodplain.

LIDAR data combined with digital coring databases and/or detailed soil maps have proven to be an excellent method to identify and map crevasse splays and archaeological sites on these. The resulting new maps form a major basis for archaeological prospection and preservation policy.
Bite marks on early Holocene Tursiops truncatus fossils from the North Sea indicate scavenging by rays (Chondrichthyes, Rajidae)
Authors: van Netten H.H. , Reumer J.W.F.
Published: July 2016

A number of Tursiops truncatus mandibles in the collection of fossil marine mammals in the Rotterdam Natural History Museum have marks consisting of several parallel linear grooves. These marks are also found on four atlas complexes, a scapula and on one vertebra. The hypothesis that they are bite marks and were caused by scavenging rays (Rajidae, Chondrichthyes) was tested with a real-life experiment using different shark and ray species, allowing them to scavenge on cow ribs as proxies for the dolphin bones. The bite marks of these animals were compared with the fossil marks and show that the fossil marks are most likely caused by scavenging rays.
Notes on some trace fossils and other parataxa from the Maastrichtian type area, southeast Netherlands and northeast Belgium
Authors: Donovan S.K. , Jagt J.W.M. , Lewis D.N.
Published: July 2016

New specimens described herein add to our knowledge of uncommon parataxa (embedment structures, borings and a certain type of burrow) from the type area of the Maastrichtian Stage, the material originating from the ENCI-HeidelbergCement Group (Maastricht), Ankerpoort-'t Rooth (Bemelen) and former Blom (Berg en Terblijt) quarries in southern Limburg (the Netherlands), and from the CBR-Romontbos (Eben Emael) and CPL SA (Haccourt) chalk pits in the province of Liège (northeast Belgium). AlthoughCentrichnus eccentricusBromley & Martinell has previously been recorded from this area, it has not received formal description; the specimen documented herein shares a test of the echinoidEchinocorysgr.conoideawith numerous other episkeletozoans.Podichnuscf.centrifugalisBromley & Surlyk occurs both on echinocorythid echinoid tests and guards of belemnitellid coleoids; two out of seven specimens display radial discontinuous channels, indicative of the extreme penetration of filaments from the attached brachiopod's pedicle.Renichnus arcuatusMayoral shows a range of morphologies, from the embedment structure sensu stricto through to specimens retaining internal moulds of the producing, embedded vermetid gastropod to free shells ofVermetus binkhorstiCossmann. Burrows packed with bioclastic debris, particularly primary spines and a few test plates of phymosomatid echinoids, present a systematic conundrum, although appearing comparable to the ichnogeneraNummiperaHölder andBaronichnusBreton in several respects.
The belemnite zonation of the uppermost Cretaceous in the Maastricht-Aachen-Liège, Brabant-Méhaigne and Mons areas (Belgium, southeast Netherlands)
Authors: Keutgen N.
Published: July 2016

An overview is presented of belemnitellid faunas of Santonian to Maastrichtian (Late Cretaceous) age in the Mons Basin and in the Brabant-Méhaigne and Maastricht-Aachen-Liège areas (Belgium, southeast Netherlands). As many as twenty-two species of the generaActinocamaxMiller, 1823,GonioteuthisBayle, 1878,Belemnitellad'Orbigny, 1840 andBelemnellaNowak, 1913 have been recorded to date. On the basis of these, thirteen zones can be distinguished: three in the Santonian (G. w. westfalica, G. westfalicagranulata and G. granulata), six in the Campanian (G. granulataquadrata, G. quadrata, Blt. mucronata, Blt. woodi, Blt. minorI andBlt. minorII) and four in the Maastrichtian (Bln. obtusa, Bln. ex gr. sumensis/cimbrica, Blt. juniorandBln. kazimiroviensis). Correlative schemes between these zones and those proposed for Norfolk (southeast England) and for the combined Lägerdorf-Kronsmoor-Hemmoor section (northern Germany) are presented. The belemnitellid assemblage of the study area closely resembles that of Norfolk, but differs from the late Campanian faunas of northwest Germany.
A natural-stone city walk through Maastricht, the Netherlands
Authors: Dubelaar C.W. , Kisters P.J.M. , Stroucken J.W.
Published: July 2016

Having been inspired by the leaflet, ‘Natuursteen in Maastricht. Aardrijkskunde in een oude stad’, written by P.J. Felder and published in 1977, we here present descriptions of the main types of natural stones applied in the city of Maastricht. A concise overview of the provenance area, mineralogy and physical properties of a selection of so-called historical building stones used in Maastricht, from Roman times onwards, is given. On a walk, starting at the Natuurhistorisch Museum Maastricht and ending at the Vrijthof, the main square of the city of Maastricht, details of building stones seen on the way are highlighted.
The origin of ‘tauw’, an enigmatic building stone of the Mergelland: a case study of the Hesbaye region, southwest of Maastricht (Belgium)
Authors: Dusar M. , Dreesen R. , Indeherberge L. , Defour E. , Meuris R.
Published: July 2016

The origin of a peculiar type of silicified limestone with nodular flints used in parish churches at Sluizen and Vreren, south of Tongeren (province of Limburg, Belgium), has now been elucidated by the discovery of the same rock type in its natural setting, namely the silicified top of the Cretaceous which underlies Clay-with-flints (‘flint eluvium’) and Oligocene sands in a disused quarry at Elst, municipality of Riemst (Limburg, Belgium). Co-operation between professional geologists and amateur palaeontologists has allowed to characterise this rock type, here referred to as ‘Elst tauw’, both petrographically and palaeontologically. The rich echinoid fauna has also been assessed, on the basis of a comparison with assemblages from the Clay-with-flints at Halembaye (Haccourt/Lixhe, province of Liège, Belgium) and at Zichen-Eben Emael in the Hesbaye region. P.J. Felder's ecozones, based on bioclast assemblages, substantiated by analyses of petrographical biofacies features of the original calcarenite, has allowed lithostratigraphic correlation of the ‘Elst tauw’ with the ‘Roosburg block’, which is a variety of ‘Maastricht stone’. Both methods indicate that the ‘Elst tauw’ developed in beds that can be assigned to the condensed Valkenburg-Schiepersberg interval of the lower Maastricht Formation. Petrographical analysis has shown the ‘Elst tauw’ to be quite distinctive; in addition, its natural occurrence at the Elst quarry matches the building stone records in rock type. The latter stem from the same small area, situated southwest of Maastricht. The major steps in its diagenetic history could be reconstructed, starting with pervasive pyritisation of the calcareous allochems, followed by silicification of the grains and pore spaces (different silica cements that became partially recrystallised), completed by oxidation of pyrite with transformation into limonite and, finally, dissolution of the non-pyritised or partially pyritised skeletal allochems creating a mouldic porosity. Silicification probably was achieved prior to the Oligocene. This particular mode of formation has generated a discussion on the proper use of the vernacular term ‘tauw’, a term used in a different sense by the industry, stratigraphers and students of building stones.
Late Pleistocene variations of the background aeolian dust concentration in the Carpathian Basin: an estimate using decomposition of grain-size distribution curves of loess deposits
Authors: Varga G. , Kovács J. , Újvári G.
Published: July 2016

Aeolian dust deposits can be considered as one of the most important archives of past climatic changes. Alternating loess and paleosol strata display variations of the dust load in the Pleistocene atmosphere. By using the observations of recent dust storms, we are able to employ Late Pleistocene stratigraphic datasets (with accurate chronological framework) and detailed granulometric data for making conclusions on the atmospheric dust load in the past. Age-depths models, created from the absolute age data and stratigraphic interpretation, allow us to calculate sedimentation rates and dust fluxes, while grain-size specifies the dry-deposition velocity, i.e. the atmospheric residence time of mineral particles. Thus, the dust concentration can be expressed as the quotient of the dust flux and gravitational settling velocity. Recent observations helped to clarify the mechanisms behind aeolian sedimentation and the physical background of this process has nowadays been well established. Based on these two, main contrasting sedimentary modes of dust transport and deposition can be recognised: the short suspension episodes of the coarse (silt and very fine sand) fraction and the long-range transport of a fine (clay and fine silt) component. Using parametric curve fitting the basic statistical properties of these two sediment populations can be revealed for Pleistocene aeolian dust deposits, as it has been done for loess in Hungary. As we do not have adequate information on the magnitude and frequency of the Pleistocene dust storms, conclusions could only be made on the magnitude of continuous background dust load. The dust concentration can be set in the range between 1100 and 2750 μg/m3. These values are mostly higher than modern dust concentrations, even in arid regions. Another interesting proxy of past atmospheric conditions could be the visibility, being proportional to the dust concentration. According to the known empirical dust concentration – visibility equations, its value is around 6.5 to 26 kilometres.
Loess in the Vojvodina region (Northern Serbia): an essential link between European and Asian Pleistocene environments
Authors: Marković S.B. , Hambach U. , Stevens T. , Jovanović M. , O'Hara-Dhand K. , Basarin B. , Lu H. , Smalley I. , Buggle B. , Zech M. , Svirčev Z. , Sümegi P. , Milojković N. , Zöller L.
Published: July 2016

Loess deposits in the Vojvodina region, northern Serbia, are among the oldest and most complete loess-paleosol sequences in Europe to date. These thick sequences contain a detailed paleoclimatic record from the late Early Pleistocene. Based on the correlation of detailed magnetic susceptibility (MS) records from Vojvodina with the Chinese loess record and deep-sea isotope stratigraphy we here reconfirm and expand on a stratigraphic model of the Vojvodinian loess-paleosol chronostratigraphic sequence following the Chinese loess stratigraphic system.

Variations in MS, dust accumulation rates, and the intensity of pedogenesis demonstrate evidence for a Middle Pleistocene climatic and environmental transition. The onset of loess deposition in Vojvodina also indicates a direct link between dust generation in Europe and that in the interior of Eurasia since the Early Pleistocene. The youngest part of the Early Pleistocene and oldest part of the Middle Pleistocene is characterised by relatively uniform dust accumulation and soil formation rates as well as relatively high magnetic susceptibility values. In contrast, the last five interglacial-glacial cycles are characterised by sharp environmental differences between high dust accumulation rates during the glacials and low rates observed during soil development. The data presented in this study demonstrate the great potential of Vovjodina's loess archives for accurate reconstruction of continental Eurasian Pleistocene climatic and environmental evolution.
Soft rock pediments in South Moravia, Czech Republic
Authors: Czudek T.
Published: July 2016

Soft rock pediments developed in South Moravia in some places as early as the Tertiary, in other places as late as the Pleistocene. Depending on local environmental factors the pediments developed either due to backwearing or downwearing. The most suitable conditions for the evolution of the Pleistocene pediments were during transitional periods between warm and cold climate phases and especially during periglacial conditions between cold and warm periods in the Middle and Late Pleistocene. In agricultural landscapes, the studied relief features continue to develop also at present.
The role of permafrost in shaping the Late Glacial relief of northern Poland
Authors: van Loon A.J. , Błaszkiewicz M. , Degórski M.
Published: July 2016

The presence of permafrost in Poland north of the line indicating the maximum ice extent of the Vistulian (Weichselian) glaciation after retreat of the land-ice cap has been a subject of debate for a long time. Investigations in an area at the line of the maximum ice extent of the Pomeranian phase prove that permafrost existed, indeed, after the ice retreat. This conclusion is drawn on the basis of morphological data (the presence of oriented kettle holes), sedimentological data (the nature of the infilling of the kettle holes) and pedological data (permafrost-affected horizons in soil profiles). It appears that the permafrost mostly developed in the ice-free zone that appeared after the retreat of the land-ice cap, but it is likely that some relict permafrost that had originated earlier in front of advancing ice was also still present. The landscape of northern Poland owes its relief partly to the Late Glacial permafrost.
Earth Sciences and Economics, a productive and dynamic interface awaiting exploration
Authors: Vermaat J.E. , Bokhorst M.
Published: July 2016

This paper sketches the historical common grounds of economics and earth sciences from their roots as scientific disciplines in the period of Enlightenment, and from a much earlier not necessarily scientifical commonality in the economic dependency of early societies on the prevalence of natural resources on the surface of the earth. It proceeds by stressing the commonality of the two disciplines in being empirical and positivistically mechanistic, without ignoring the major socio-cultural rift that occurs between their respective practitioners. The argument is put forward that societal problems, whether global or local, are often not straightforward and easily solved with the tools of a single discipline, and a plea is made for the combination of earth sciences and economics as candidates for a potent multi-disciplinary combination. Briefly, the BSc curriculum in Earth Sciences and Economics is justified and an accompanying research agenda is highlighted that starts from an empirical quantification of ecosystem services at the landscape scale of catchments.
Tympanoplasty: does dry or wet temporalis fascia graft matter?
Authors: Singh G B , Kumar D , Aggarwal K , Garg S , Arora R , Kumar S
Published: July 2016

Objectives:

To evaluate the success rate of dry and wet temporalis fascia grafts in type I underlay tympanoplasty.

Methods:

A prospective, randomised study was conducted. One hundred adult patients (males and females) with chronic suppurative otitis media (mucosal type) were divided into 2 groups of 50 each: one group underwent dry graft tympanoplasty and the other underwent wet graft tympanoplasty. Fibroblast count was calculated in dry and wet grafts.

Results:

The dry graft and wet graft groups had overall surgical success rates of 82 and 90 per cent, respectively; this finding was not statistically significant. A statistically significant high fibroblast count was observed in wet grafts, but it did not correlate with surgical success.

Conclusion:

A dry or wet temporalis fascia graft does not influence the outcome of tympanoplasty type I.
Un Theoreme sur Les Groupes D’holonomie
Authors: Nomizu Katsumi
Published: July 2016

MM. Ozeki et Hano ont récemment démontré [3] que tout sous-groupe connexe de Lie du groupe linéaire GL(n, R), n≧2, peut être réalisé comme groupe d’holonomie d’une certaine connexion linéaire dans un espace affine de dimension n.
A criterion for intersection multiplicity one
Authors: Achilles Rüdiger , Huneke Craig , Vogel Wolfgang
Published: July 2016

Let X and Y be any pure dimensional subschemes of Pnk over an algebraically closed field K and let I(X) and I(Y) be the largest homogeneous ideals in K[x0,…, xn] defining X and Y, respectively. By a pure dimensional subscheme X of Pnk we shall always mean a closed pure dimensional subscheme without imbedded components, i.e., all primes belonging to I(X) have the same dimension.
On the equivalence problem and integration of differential systems
Authors: Higa Tatsuo
Published: July 2016

The purpose of the presnet paper is to study the relationship between the theory of Lie pseudogroups and the problem of integration of differential systems (cf. [6] pp. 30-47).

Let be a Lie pseudogroup on a manifold M and S a differentia] system on M. Let (S) denote the largest subpseudogroup of leaving S invariant. Then the problems to be considered may be stated as follows.
Stable base change for spherical functions
Authors: Flicker Yuval Z.
Published: July 2016

Let E/F be an unramified cyclic extension of local non-archimedean fields, G a connected reductive group over F, K(F) (resp. K(E)) a hyper-special maximal compact subgroup of G(F) (resp. G(E)), and H(F) (resp. H(E)) the Hecke convolution algebra of compactly-supported complex-valued K(F) (resp. G(E))-biinvariant functions on G(F) (resp. G(E)). Then the theory of the Satake transform defines (see § 2) a natural homomorphism H(E) → H(F), θ→f. There is a norm map N from the set of stable twisted conjugacy classes in G(E) to the set of stable conjugacy classes in G(F); it is an injection (see [Ko]). Let Ω‱(x, f) denote the stable orbital integral of f in H(F) at the class x, and Ω‱(y, θ) the stable twisted orbital integral of θ in H(E) at the class y.
Generalized null correlation bundles
Authors: Ein Lawrence
Published: July 2016

It is well known that the moduli space of stable rank 2 vector bundles on ℙ2 of the fixed topological type is an irreducible smooth variety ([1], and [8]). There are also many known results on the classification of stable rank 2 vector bundles on ℙ3 with “small” Chern classes.
Torus-equivariant vector bundles on projective spaces
Authors: Kaneyama Tamafumi
Published: July 2016

For a free Z-module N of rank n, let T = TN be an n-dimensional algebraic torus over an algebraically closed field k defined by N. Let X = TN emb (Δ) be a smooth complete toric variety defined by a fan Δ (cf. [6]). Then T acts algebraically on X. A vector bundle E on X is said to be an equivariant vector bundle, if there exists an isomorphism ft: t*E → E for each k-rational point t in T, where t: X → X is the action of t. Equivariant vector bundles have T-linearizations (see Definition 1.2 and [2], [4]), hence we consider T-linearized vector bundles.
Relèvements des structures symplectiques et pseudo-riemanniennes à des variétés de points proches
Authors: Okassa Eugène
Published: July 2016

On considère une variété différentielle M, paracompacte de classe C∞. Etant donné une algèbre locale A (algèbre commutative unitaire de dimension finie sur R dont l’idéal maximal m est de codimension 1 sur R), on rappelle qu’un point proche de x ∊ M d’espèce A est un homomorphisme d’algèbres ξ de C∞(M) [algèbre des fonctions numériques de classe C∞ sur M] dans A tel que ξ(f)≡f(x) mod m pour toute fonction f ∊ C∞(M) [9]. En notant l’ensemble des points proches de x d’espèce est une variété différentielle de dimension n × dim A où n = dim M. Si A = R[T1 … T3]/(T1, …, Ts)k+1, la variété MA s’identifie à la variété des jets, , des applications différentiables de classe C∞ de Rs dans M ayant 0 ∊ Rs pour source.
Universal induced characters and restriction rules for the classical groups
Authors: Teranishi Yasuo
Published: July 2016

The purpose of this paper is the study of some basic properties of universal induced characters and their applications to the representation theory of the classical groups (for the definition of a universal induced character, see § 3).

The starting point was the paper [F] by E. Formanek on matrix invariants. In his paper [F], Formanek has investigated the Hilbert series for the ring of matrix invariants from the point of view of the representation theory of the general linear group and the symmetric group. In this paper we shall study polynomial concomitants of a group from the same point of view.
Sur les Espaces Homogènes Kählériens d’un Groupe de Lie Réductif
Authors: Matsushima Yozô
Published: July 2016

La recherche de la structure des espaces homogènes kählériens d’un groupe de Lie semi-simple fait l’objet de plusieurs travaux récents. L’étude détaillée a été faite au cas compact. Il a été montré en particulier que ces espaces homogènes compacts sont des variétés algébriques (même rationnelles) et simplement connexes.

Le but essentiel de ce travail est de montrer que tout espace homogène kählérien compact est produit direct d’un tore complexe et d’un espace homogène kählérien d’un groupe de Lie compact semi-simple (Théorème 3). Pour ce but nous étudierons au paragraphe 1 la structure des espaces homogènes symplectiques d’un groupe de Lie réductif. La structure et la situation du groupe d’isotropie seront clarifiées dans le théorème 1. Au paragraphe 2 on en déduit un théorème sur la structure des espaces homogènes kählériens d’un groupe de Lie réductif (Théorème 2). Le théorème 3 est une conséquence immédiate du théorème 2.
Note on P.P. Rings: (A Supplement to Hattori’s Paper)
Authors: Endo Shizuo
Published: July 2016

A ring R is called, according to [2], a left p.p. ring if any principal left ideal of R is projective. A ring which is left and right p.p. is called a p.p. ring.

In this short note we shall give some additional remarks to A. Hattori [2]. In Proposition 1 we shall give a characterization of commutative p.p. rings, and in Proposition 3 we shall give a generalization of Proposition 17 and 18 in [2], which shows also that the modified torsion theory over commutative p.p. rings coincides with the usual torsion theory.
Über Quadratische Charaktersummen
Authors: Kubota Tomio
Published: July 2016

Es gibt zwei verschiedene Arten von Summen, die gewöhnlich Gausssche Summen genannt werden. Die eine Summe wird von einer Zahl ω ≠ 0 eines algebraischen Zahlkörpers F bestimmt.
Ito’s formula and Levy’s Laplacian
Authors: Saito Kimiaki
Published: July 2016

The class of normal functionals

is, as is well known, adapted to the domain of Lévy’s Laplacian and plays important roles in the works by P. Lévy and T. Hida (cf. [1], [2] and [8]), where Bx denotes one-dimensional parameter white noise and denotes the renormalization of
Discriminants in the invariant theory of reflection groups
Authors: Orlik Peter , Solomon Louis
Published: July 2016

Let V be a complex vector space of dimension l and let G ⊂ GL(V) be a finite reflection group. Let S be the C-algebra of polynomial functions on V with its usual G-module structure (gf)(v) = f{g-1v). Let R be the subalgebra of G-invariant polynomials. By Chevalley’s theorem there exists a set ℬ = {f1, …, fl} of homogeneous polynomials such that R = C[f1, …, fl]. We call ℬ a set of basic invariants or a basic set for G. The degrees di = deg fi are uniquely determined by G. We agree to number them so that d1 ≤ … ≤ di. The map τ: V/G → C1 defined by

is a bijection. Each reflection in G fixes some hyperplane in V.
Torsion points on elliptic curves defined over quadratic fields
Authors: Kenku M. A. , Momose F.
Published: July 2016

Letkbe a quadratic field andEan elliptic curve defined overk. The authors [8, 12, 13] [23] discussed thek-rational points onEof prime power order. For a prime numberp, letn=n(k, p) be the least non negative integer such that

for all elliptic curvesEdefined over a quadratic fieldk([15]).
Distribution of closed geodesics with a preassigned homology class in a negatively curved manifold
Authors: Adachi Toshiaki
Published: July 2016

Let M be a compact Riemannian manifold whose geodesic flow φi : UM→UM on the unit tangent bundle is of Anosov type. In this paper we count the number of φi-closed orbits and study the distribution of prime closed geodesies in a given homology class in H1(M, Z). Here a prime closed geodesic means an (oriented) image of a φi-closed orbit by the projection p : UM → M.
Stochastic differential games and viscosity solutions of Isaacs equations
Authors: Nisio Makiko
Published: July 2016

Recently P. L. Lions has demonstrated the connection between the value function of stochastic optimal control and a viscosity solution of Hamilton-Jacobi-Bellman equation [cf. 10, 11, 12]. The purpose of this paper is to extend partially his results to stochastic differential games, where two players conflict each other. If the value function of stochatic differential game is smooth enough, then it satisfies a second order partial differential equation with max-min or min-max type nonlinearity, called Isaacs equation [cf. 5]. Since we can write a nonlinear function as min-max of appropriate affine functions, under some mild conditions, the stochastic differential game theory provides some convenient representation formulas for solutions of nonlinear partial differential equations [cf. 1, 2, 3].
Every algebraic Kummer surface is the K3-cover of an Enriques surface
Authors: Keum Jong Hae
Published: July 2016

A Kummer surface is the minimal desingularization of the surface T/i, where T is a complex torus of dimension 2 and i the involution automorphism on T. T is an abelian surface if and only if its associated Kummer surface is algebraic. Kummer surfaces are among classical examples of K3-surfaces (which are simply-connected smooth surfaces with a nowhere-vanishing holomorphic 2-form), and play a crucial role in the theory of K3-surfaces. In a sense, all Kummer surfaces (resp. algebraic Kummer surfaces) form a 4 (resp. 3)-dimensional subset in the 20 (resp. 19)-dimensional family of K3-surfaces (resp. algebraic K3 surfaces).
On the Cartan-Norden theorem for affine Kähler immersions
Authors: Nomizu Katsumi , Podestà Fabio
Published: July 2016

In [N-Pi-Po] the notion of affine Kähler immersion for complex manifolds has been introduced: if Mn is an n-dimensional complex manifold and f: Mn -→ Cn+1 is a holomorphic immersion together with an anti-holomorphic transversal vector field ζ, we can induce a connection ▽ on Mn which is Kähler-like, that is, its curvature tensor R satisfies R(Z, W) = 0 as long as Z, W are (1, 0) complex vector fields on M.
The topological stability of diffeomorphisms
Authors: Moriyasu Kazumine
Published: July 2016

The present paper is concerned with the stability of diffeomorphisms of C∞ closed manifolds. Let M be a C∞ closed manifold and Diffr(M) be the space of Cr diffeomorphisms of M endowed with the Cr topology (in this paper we deal with only the case r = 0 or 1). Let us define
On S-class number relations of algebraic tori in Galois extensions of global fields
Authors: Morishita Masanori
Published: July 2016

As an interpretation and a generalization of Gauss’ genus theory on binary quadratic forms in the language of arithmetic of algebraic tori, Ono [02] established an equality between a kind of “Euler number E(K/k)” for a finite Galois extension K/k of algebraic number fields and other arithmetical invariants associated to K/k. His proof depended on his Tamagawa number formula [01] and Shyr’s formula [Sh] which follows from the analytic class number formula of a torus. Later, two direct proofs were given by Katayama [K] and Sasaki [Sa].
On ε-approximate singularities of autonomous systems of vortex type
Authors: Omoto Hideo , Kimura Yoshifumi
Published: July 2016

Let us consider three vortex-filaments zj(t) with strength Γj (j = 1, 2, 3) in the complex plane C. Then the system of motion equations is given by

This system (E) is defined on V = C3 = Δ, where Δ = {(z1 z2, z3) ∈ C3; Zj = zk for j ≠ k} is the super-diagonal set of C3.
A classification of Riemannian 3-manifolds with constant principal ricci curvaturesρ1= ρ2≠ ρ3
Authors: Kowalski Oldřich
Published: July 2016

This paper has been motivated by various problems and results in differential geometry. The main motivation is the study of curvature homogeneous Riemannian spaces initiated in 1960 by I.M. Singer (see Section 9—Appendix for the precise definitions and references). Up to recently, only sporadic classes of examples have been known of curvature homogeneous spaces which are not locally homogeneous. For instance, isoparametric hypersurfaces in space forms give nice examples of nontrivial curvature homogeneous spaces (see [FKM]). To study the topography of curvature homogeneous spaces more systematically, it is natural to start with the dimension n = 3. The following results and problems have been particularly inspiring.
Commutative algebras for arrangements
Authors: Orlik Peter , Terao Hiroaki
Published: July 2016

Let V be a vector space of dimension l over some field K. A hyperplane H is a vector subspace of codimension one. An arrangement is a finite collection of hyperplanes in V. We use [7] as a general reference.
On Siegel modular forms part II
Authors: Runge Bernhard
Published: July 2016

In this paper we compute dimension formulas for rings of Siegel modular forms of genus g = 3. Let denote the main congruence subgroup of level two, the Hecke subgroup of level two and the full modular group. We give the dimension formulas for genus g = 3 for the above mentioned groups and determine the graded ring of modular forms with respect to .
Möbius geometry for hypersurfaces in S4
Authors: Wang Changping
Published: July 2016

Our purpose in this paper is to study Möbius geometry for those hypersurfaces in S4 which have different principal curvatures at each point. We will give a complete local Möbius invariant system for such hypersurface in S4 which determines the hypersurface up to Möbius transformations. And we will classify the so-called Möbius homogeneous hypersurfaces in S4.
Kontsevich’s integral for the Kauffman polynomial
Authors: Quoc Le Thang Tu , Murakami Jun
Published: July 2016

Kontsevich’s integral is a knot invariant which contains in itself all knot invariants of finite type, or Vassiliev’s invariants. The value of this integral lies in an algebra A0, spanned by chord diagrams, subject to relations corresponding to the flatness of the Knizhnik-Zamolodchikov equation, or the so called infinitesimal pure braid relations [11].
Some Remarks on Non-Commutative Extensions of Local Rings
Authors: Batho Edward H.
Published: July 2016

In [1] we introduced the concept of a non-commutative local ring and studied the structure of such rings. Unfortunately, we were not able to show that the completion of a local ring was a semi-local ring. In this paper we propose to study a class of rings for which the above result is valid. This class of rings is the integral extensions -[4, 5]-of commutative local rings. This class of rings includes the important class of matrix rings over commutative local rings. In part 1 below we study some elementary properties of integral extensions and here we assume merely that the underlying ring is semi-local. In part 2 we discuss some questions of ideal theory for arbitrary local rings as well as for integral extensions. In a later paper we propose to utilize our results to study the deeper properties of these rings including a dimension theory for such rings. We are particularly indebted to the work of Nagata [6, 7, 8, 9] in the preparation of this paper.
A separation theorem in dimension 3
Authors: Acquistapace F. , Broglia F. , Fortuna E.
Published: July 2016

Let M be a compact non-singular real affine algebraic variety and let A, B be open disjoint semialgebraic subsets of M. Define (where —4 denotes the Zariski closure).
On the interacting Free Fock space and the deformed Wigner law
Authors: Lu Y. G.
Published: July 2016

The Fock space is a basic structure for the quantum field theory and quantum stochastic calculus. In all the cases, a Fock space can be described as a direct sum of a sequence of some Hilbert spaces, i.e. a Fock space has the form of , where, is the complex field and is a given Hilbert space.
A generalization of Kita and Noumi’s vanishing theorems of cohomology groups of local system
Authors: Cho Koji
Published: July 2016

We prove vanishing theorems of cohomology groups of local system, which generalize Kita and Noumi’s result and partially Aomoto’s result. Main ingredients of our proof are the Hodge to de Rham spectral sequence and Serre’s vanishing theorem in algebraic geometry.
Lp (1 ≤ p ≤ ∞) estimates for on a certain pseudoconvex domain in ℂn
Authors: Adachi Kenzō , Cho Hong Rae
Published: July 2016

Let Ψ ∈ C2[0,1] be a positive real valued function on (0, 1]. Under certain assumptions on Ψ, the set is a pseudoconvex domain with C2-boundary which may be infinite type. If Ψ has flatness at 0 so that then we can obtain Lp(1 ≤ p ≤ ∞) estimates for on D.
Espaces Fibrés Associés Et Pré-Associés
Authors: Koszul J. L.
Published: July 2016

Dans la première partie de cet article, on généralise une construction donnée dans [2], conduisant à l’homologie des espaces classifiants de groupe Γ. Cette construction utilise au départ un espace fibre principal Y de groupe Γ, le cas traité dans [2] étant celui où Y = Γ. Elle permet de définir dans le module de cohomologie de la base X de Y une filtration par une suite de sous-modules dont l’intersection est le module des classes caractéristiques. Dans la seconde partie, la filtration précédente est étendue à Hl(X, G) où G est le faisceau des germes d’applications continues de X dans un groupe topologique G.
Componentwise linear ideals
Authors: Herzog Jürgen , Hibi Takayuki
Published: July 2016

A componentwise linear ideal is a graded ideal I of a polynomial ring such that, for each degreeq, the ideal generated by all homogeneous polynomials of degreeqbelonging toIhas a linear resolution. Examples of componentwise linear ideals include stable monomial ideals and Gotzmann ideals. The graded Betti numbers of a componentwise linear ideal can be determined by the graded Betti numbers of its components. Combinatorics on squarefree componentwise linear ideals will be especially studied. It turns out that the Stanley-Reisner idealIΔarising from a simplicial complex Δ is componentwise linear if and only if the Alexander dual of Δ is sequentially Cohen-Macaulay. This result generalizes the theorem by Eagon and Reiner which says that the Stanley-Reisner ideal of a simplicial complex has a linear resolution if and only if its Alexander dual is Cohen-Macaulay.
Multiple zeta values, poly-Bernoulli numbers, and related zeta functions
Authors: Arakawa Tsuneo , Kaneko Masanobu
Published: July 2016

We study the functionand show that the poly-Bernoulli numbers introduced in our previous paper are expressed as special values at negative arguments of certain combinations of these functions. As a consequence of our study, we obtain a series of relations among multiple zeta values.
Relatively minimal quasihomogeneous projective 3-folds
Authors: Kebekus Stefan
Published: July 2016

In the present work we classify the relatively minimal 3-dimensional quasihomogeneous complex projective varieties under the assumption that the automorphism group is not solvable. By relatively minimal we understand varietiesXhaving at most ℚ-factorial terminal singularities and allowing an extremal contractionX→Ywhere dimY< 3.
Nonexistence of real analytic Levi flat hypersurfaces in ℙ2
Authors: Ohsawa Takeo
Published: July 2016

A real hypersurface M in a complex manifold X is said to be Levi flat if it separates X locally into two Stein pieces. It is proved that there exist no real analytic Levi flat hypersurfaces in ℙ2.
Special polynomials and the Hirota Bilinear relations of the second and the fourth Painlevé equations
Authors: Fukutani Satoshi , Okamoto Kazuo , Umemura Hiroshi
Published: July 2016

We give a purely algebraic proof that the rational functions Pn(t), Qn(t) inductively defined by the recurrence relation (1), (2) respectively, are polynomials. The proof reveals the Hirota bilinear relations satisfied by the τ-functions.
Zero varieties for the Nevanlinna class on all convex domains of finite type
Authors: Diederich Klas , Mazzilli Emmanuel
Published: July 2016

It is shown, that the so-called Blaschke condition characterizes in any bounded smooth convex domain of finite type exactly the divisors which are zero sets of functions of the Nevanlinna class on the domain. The main tool is a non-isotropic L1 estimate for solutions of the Cauchy-Riemann equations on such domains, which are obtained by estimating suitable kernels of Berndtsson-Andersson type.
Rationality of moduli spaces of vector bundles on rational surfaces
Authors: Costa Laura , Miro-Ŕoig Rosa M.
Published: July 2016

Let X be a smooth rational surface. In this paper, we prove the rationality of the moduli space MX,L(2; c1; c2) of rank two L-stable vector bundles E on X with det (E) = c1 ∈ Pic(X) and c2(E) = c2 ≫ 0.
An application of Iwasawa theory to constructing fields Q(ζn + ) which have class group with large p-rank
Authors: Ozaki Manabu
Published: July 2016

Let p be an odd prime number. By using Iwasawa theory, we shall construct cyclotomic fields whose maximal real subfields have class group with arbitrarily large p-rank and conductor with only four prime factors.
Asymptotic expansions of double zeta-functions of Barnes, of Shintani, and Eisenstein series
Authors: Matsumoto Kohji
Published: July 2016

The present paper contains three main results. The first is asymptotic expansions of Barnes double zeta-functions, and as a corollary, asymptotic expansions of holomorphic Eisenstein series follow. The second is asymptotic expansions of Shintani double zeta-functions, and the third is the analytic continuation of n-variable multiple zeta-functions (or generalized Euler-Zagier sums). The basic technique of proving those results is the method of using the Mellin-Barnes type of integrals.
Algebraic fiber spaces whose general fibers are of maximal Albanese dimension
Authors: Fujino Osamu
Published: July 2016

The main purpose of this paper is to prove the Iitaka conjecture Cn,m on the assumption that the sufficiently general fibers have maximal Albanese dimension.
Local splitting families of hyperelliptic pencils, II
Authors: Arakawa Tatsuya , Ashikaga Tadashi
Published: July 2016

We propose certain obstructions for the existence of hyperelliptic splitting families of degenerations of curves. Moreover we determine the complete system of hyperelliptic atomic fibers of genus 3.
Hilbert-Kunz Multiplicity of Three-Dimensional Local Rings
Authors: Watanabe Kei-ichi , Yoshida Ken-ichi
Published: July 2016

In this paper, we investigate the lower bound sHK(p, d) of Hilbert-Kunz multiplicities for non-regular unmixed local rings of Krull dimension d containing a field of characteristic p > 0. Especially, we focus on three-dimensional local rings. In fact, as a main result, we will prove that sHK (p, 3) = 4/3 and that a three-dimensional complete local ring of Hilbert-Kunz multiplicity 4/3 is isomorphic to the non-degenerate quadric hypersurface k[[X, Y, Z,W]]/(X2 + Y2 + Z2 + W2) under mild conditions.

Furthermore, we pose a generalization of the main theorem to the case of dim A ≥ 4 as a conjecture, and show that it is also true in case dim A = 4 using the similar method as in the proof of the main theorem.
On Modified Circular Units and Annihilation of real Classes
Authors: Belliard Jean-Robert , Nguyễn-Quang-Ðỗ Thống
Published: July 2016

For an abelian totally real number field F and an odd prime number p which splits totally in F, we present a functorial approach to special “p-units” previously built by D. Solomon using “wild” Euler systems. This allows us to prove a conjecture of Solomon on the annihilation of the p-class group of F (in the particular context here), as well as related annihilation results and index formulae.
Generalized Green Functions and Unipotent Classes for Finite Reductive Groups, I
Authors: Hernandez David , Nakajima Hiraku
Published: July 2016

We study the monomial crystal defined by the second author. We show that each component of the monomial crystal can be embedded into a crystal of an extremal weight module introduced by Kashiwara. And we determine all monomials appearing in the components corresponding to all level 0 fundamental representations of quantum affine algebras except for some nodes of . Thus we obtain explicit descriptions of the crystals in these examples. We also give those for the corresponding finite dimensional representations. For classical types, we give them in terms of tableaux. For exceptional types, we list up all monomials.
The Dependence of Capacities on moving Branch points
Authors: Nakai Mitsuru
Published: July 2016

We are concerned with the question how the capacity of the ideal boundary of a subsurface of a covering Riemann surface over a Riemann surface varies according to the variation of its branch points. In the present paper we treat the most primitive but fundamental situation that the covering surface is a two sheeted sphere with two branch points one of which is fixed and the other is moving and the subsurface is given as the complement of two disjoint continua each in different sheets of the covering surface whose projections are two disjoint continua in the base plane given in advance not touching the projections of branch points. We will derive a variational formula for the capacity and as one of its many useful consequences expected we will show that the capacity changes smoothly as one branch point moves in the subsurface.
A Note on the Bergman metric of Bounded homogeneous Domains
Authors: Kai Chifune , Ohsawa Takeo
Published: July 2016

We show that the Bergman metric of a bounded homogeneous domain has a potential function whose gradient has a constant norm with respect to the Bergman metric, and further that this constant is independent of the choice of such a potential function.
On Canonical Modules of Toric Face Rings
Authors: Ichim Bogdan , Römer Tim
Published: July 2016

Generalizing the concepts of Stanley-Reisner and affine monoid algebras, one can associate to a rational pointed fan Σ in ℝd the ℤd-graded toric face ring K[Σ]. Assuming that K[Σ] is Cohen-Macaulay, the main result of this paper is to characterize the situation when its canonical module is isomorphic to a ℤd-graded ideal of K[Σ]. From this result several algebraic and combinatorial consequences are deduced. As an application, we give a relation between the cleanness of K[Σ] and the shellability of Σ.
Commuting Families in Hecke and Temperley-Lieb Algebras
Authors: Halverson Tom , Mazzocco Manuela , Ram Arun
Published: July 2016

We define analogs of the Jucys-Murphy elements for the affine Temperley-Lieb algebra and give their explicit expansion in terms of the basis of planar Brauer diagrams. These Jucys-Murphy elements are a family of commuting elements in the affine Temperley-Lieb algebra, and we compute their eigenvalues on the generic irreducible representations. We show that they come from Jucys-Murphy elements in the affine Hecke algebra of type A, which in turn come from the Casimir element of the quantum group. We also give the explicit specializations of these results to the finite Temperley-Lieb algebra.
Dualizing Complex of a Toric Face Ring
Authors: Okazaki Ryota , Yanagawa Kohji
Published: July 2016

A toric face ring, which generalizes both Stanley-Reisner rings and affine semigroup rings, is studied by Bruns, Römer and their coauthors recently. In this paper, under the “normality” assumption, we describe a dualizing complex of a toric face ring R in a very concise way. Since R is not a graded ring in general, the proof is not straightforward. We also develop the square-free module theory over R, and show that the Cohen-Macaulay, Buchsbaum, and Gorenstein* properties of R are topological properties of its associated cell complex.
Rouquier blocks of the cyclotomic Hecke algebras of G(de, e, r)
Authors: Chlouveraki Maria
Published: July 2016

The Rouquier blocks of the cyclotomic Hecke algebras, introduced by Rouquier, are a substitute for the families of characters defined by Lusztig for Weyl groups, which can be applied to all complex reflection groups. In this article, we determine them for the cyclotomic Hecke algebras of the groups of the infinite seriesG(de, e, r), thus completing their calculation for all complex reflection groups.
Hilbert-Samuel polynomials for the contravariant extension functor
Authors: Crabbe Andrew , Katz Daniel , Striuli Janet , Theodorescu Emanoil
Published: July 2016

Let(R,m)be a local ring, and letMandNbe finiteR-modules. In this paper we give a formula for the degree of the polynomial giving the lengths of the modules ExtiR(M,N/mnN). A number of corollaries are given, and more general filtrations are also considered.
Module structure of cells in unequal-parameter Hecke algebras
Authors: Pietraho Thomas
Published: July 2016

A conjecture of Bonnafé, Geck, Iancu, and Lam parametrizes Kazhdan-Lusztig left cells for unequal-parameter Hecke algebras in typeBnby families of standard domino tableaux of arbitrary rank. Relying on a family of properties outlined by Lusztig and the recent work of Bonnafé, we verify the conjecture and describe the structure of each cell as a module for the underlying Weyl group.