bluuebunny/crossref_metadata_2025_split huggingface dataset:
A singular convolution kernel without pseudo-periods
Authors: Laub Jesper 
Published: July 2016

Let G be a locally compact abelian group and N a non-zero convolution kernel on G satisfying the domination principle. We define the cone of N-excessive measures E(N) to be the set of positive measures ξ for which N satisfies the relative domination principle with respect to ξ. For ξ ∈ E(N) and Ω ⊆ G open the reduced measure of ξ over Ω is defined as.
Integrable derivations
Authors: Matsumura Hideyuki 
Published: July 2016

Let A be a commutative ring and D be a derivation of A into itself. If there exists a homomorphism E: A → A[[t]] such thatthen we say that D is integrable. Integrable derivations have many good properties. In fact, most of unpleasant phenomena of derivations in characteristic p disappear if we consider integrable derivations only.
On the holonomy Lie algebra and the nilpotent completion of the fundamental group of the complement of hypersurfaces
Authors: Kohno Toshitake 
Published: July 2016

The purpose of this paper is to establish the following isomorphism of Lie algebras.Main Theorem. Let X be the complement of a hypersurface S in the complex projective space PN. Then the tower of nilpotent complex Lie algebras associated with the fundamental group π1(X, *) and the holonomy Lie algebraattached to S are isomorphic.
A note on quadratic fields in which a fixed prime number splits completely
Authors: Ichimura Humio 
Published: July 2016

Throughout this note,pdenotes a fixed prime number andfdenotes a fixed natural number prime top.It is easy to see and more or less known that for any natural numbern, there exists an elliptic curve overpwhosej-invariant is of degreenoverFpand whose endomorphism ring is isomorphic to an order of an imaginary quadratic field. In this note, we consider a more precise problem:for any natural number n, decide whether or not there exists an elliptic curve overpwhose j-invariant is of degree n over Fpand whose endomorphism ring is isomorphic to an order of an imaginary quadratic field with conductor f.
On global cluster sets for functions meromorphic on some Riemann surfaces
Authors: Segawa Shigeo 
Published: July 2016

Consider a single-valued meromorphic function w = f(p) defined on an open Riemann surface R with an ideal boundary β. In [1], Collingwood and Cartwright introduced the global cluster set for a function meromorphic on the unit disk. Generalizing the definition of global cluster sets to our present setting, we define the global cluster set for w = f(p) as follows;A value w in the extended complex plane is called a cluster value at β if there exists a sequence in R converging to β such that
On singular sets of flat holomorphic mappings with isolated singularities
Authors: Omoto Hideo 
Published: July 2016

In [4] B. Iversen studied critical points of algebraic mappings, using algebraic-geometry methods. In particular when algebraic maps have only isolated singularities, he shows the following relation; Let V and S be compact connected non-singular algebraic varieties of dimcV = n, and dimc S = 1, respectively. Suppose f is an algebraic map of V onto S with isolated singularities. Then it follows thatwhere χ denotes the Euler number, μf(p) is the Milnor number of f at the singular point p, and F is the general fiber of f : V → S.
Dynamical construction of Kähler-Einstein metrics
Authors: Tsuji Hajime 
Published: July 2016

AbstractIn this article, we give a new construction of a Kähler-Einstein metric on a smooth projective variety with ample canonical bundle. As a consequence, for a dominant projective morphismf:X→Swith connected fibers such that a general fiber has an ample canonical bundle, and for a positive integerm, we construct a canonical singular Hermitian metrichE,monwith semipositive curvature in the sense of Nakano.
Instability of one global transonic shock wave for the steady supersonic Euler flow past a sharp cone
Authors: Xu Gang , Yin Huicheng 
Published: July 2016

AbstractIn this paper, we are concerned with the instability problem of one global transonic conic shock wave for the supersonic Euler flow past an infinitely long conic body whose vertex angle is less than some critical value. This is motivated by the following descriptions in the bookSupersonic Flow and Shock Wavesby Courant and Friedrichs: if there is a supersonic steady flow which comes from minus infinity, and the flow hits a sharp cone along its axis direction, then it follows from the Rankine-Hugoniot conditions, the physical entropy condition, and the apple curve method that there will appear a weak shock or a strong shock attached at the vertex of the cone, which corresponds to the supersonic shock or the transonic shock, respectively. A long-standing open problem is that only the weak shock could occur, and the strong shock is unstable. However, a convincing proof of this instability has apparently never been given. The aim of this paper is to understand this. In particular, under some suitable assumptions, because of the essential influence of the rotation of Euler flow, we show that a global transonic conic shock solution is unstable as long as the related sharp circular cone is perturbed.
Divisor class groups and graded canonical modules of multisection rings
Authors: Kurano Kazuhiko 
Published: July 2016

AbstractWe describe the divisor class group and the graded canonical module of the multisection ringT(X;D1,…,Ds) for a normal projective varietyXand Weil divisorsD1,…,DsonXunder a mild condition. In the proof, we use the theory of Krull domain and the equivariant twisted inverse functor.
Fibre Bundles over Spheres
Authors: Shizuma Ryoji 
Published: July 2016

This note is concerned with homotopy relations in fibre bundles over spheres, in connection with my previous note.Let R be a fibre boundle, with the n-dimensional sphere Sn as the base space and with fibres which are connected and simple in n − 1 dimension. Let further π denote the projection of R onto Sn. We take a simplicial decomposition K of Sn which is so fine that the star of each simplex lies in a coordinate neighborhood of Sn.
An Example of Normal Local Ring which is Analytically Ramified
Authors: Nagata Masayoshi 
Published: July 2016

Previously the following question was offered by Zariski [6]:Is any normal Noetherian local ring analytically irreducible?In the present note, we will construct a counter-example against the question.TERMINOLOGY. A ring (integrity domain) means always a commutative ring (integrity domain) with identity. A normal ring is an integrity domain which is integrally closed in its field of quotients. When 0 is an integrity domain, the integral closure of 0 in its field of quotients is called the derived normal ring of 0.
A Global Formulation of the Fundamental Theorem of the theory of Surfaces in three Dimensional Euclidean Space
Authors: Sasaki Shigeo 
Published: July 2016

Let us consider a surface S of class C3 in Euclidean space E3 and(1.1) xi = xi(u1, u2) (i, j, k = 1, 2, 3)be its parametric representation of class C3.
Group Characters and Normal Hall Subgroups
Authors: Gallagher P. X. 
Published: July 2016

1. IntroductionLet G be a finite group and let ψ be an (ordinary) irreducible character of a normal subgroup N. If ψ extends to a character of G then ψ is invariant under G, but the converse is false. In section 3 it is shown that if ψ extends coherently to the intermediate groups H for which H/N is elementary, then ψ extends to G. If N is a Hall subgroup, then in order for ψ to extend to G it is sufficient that ψ be invariant under G. This leads to a construction of the characters of G from the characters of N and the characters of the subgroups of G/N in this case.
On a Theorem of Schwarz Type for Quasiconformal Mappings in Space
Authors: Ikoma Kazuo 
Published: July 2016

A space ring R is defined as a domain whose complement in the Moebius space consists of two components. The modulus of R can be defined in variously different but essentially equivalent ways (see e.g. Gehring [3] and Krivov [5]), which is denoted by mod R. Following Gehring [2], we refer to a homeomorphism y(x) of a space domain D as a k-quasiconformal mapping, if the modulus conditionis satisfied for all bounded rings R with their closure , where y(R) denotes the image of R by y = y(x). Then, it is evident that the inverse of a k-quasi-conformal mapping is itself k-quasiconformal and that a k1-quasiconformal mapping followed by a k2-quasiconformal one is k1k2-quasiconformal. It is also well known that the restriction of a Moebius transformation to a space domain is equivalent to a 1-quasiconformal mapping of its domain.
Remarks on Fujiwara’s stationary phase method on a space of large dimension with a phase function involving electromagnetic fields
Authors: Tsuchida Tetsuo 
Published: July 2016

We consider an oscillatory integral of the formHere each xj, j = 0, 1,…, L, runs in Rd, ν > 1 is a constant and tj, j = 1,…,L, are positive constants. Fujiwara [5] discussed this integral for L large and developed the stationary phase method with an estimate of the remainder term for the phase function S(xL,…, x0) coming from the action integral for a particle in an electric field. But his results cannot be applied to the integral which naturally arises in the discussion of quantum mechanics of a charged particle moving in a magnetic field. In this paper we extend his results to the case for the phase function involving both electric and magnetic fields.
Bounded realization ofl-groups over global fields
Authors: Geyer Wulf-Dieter , Jarden Moshe 
Published: July 2016

Abstract.We use the method of Scholz and Reichardt and a transfer principle from finite fields to pseudo finite fields in order to prove the following result. THEOREMLet G be a group of order ln, where l is a prime number. Let K0be either a finite field with |K0| >l4n+4or a pseudo finite field. Suppose that l≠ char(K0)and that K0does not contain the root of unity ζlof order l. Let K=K0(t),with t transcendental over K0.Then K has a Galois extension L with the following properties:(a)(L/K) ≅G; (b)L/K0is a regular extension; (c) genus(L) <; (d)K0[t]has exactly n prime ideals which ramify in L; the degree of each of them is[K0:K0]; (e) (t)∞totally decomposes in L; (f)L=K(x),withanddeg(ai(t)) < deg(a1(t))for i= 1,…,ln.
Geodesics and Killing vector fields on the tangent sphere bundle
Authors: Konno Tatsuo , Tanno Shukichi 
Published: July 2016

Abstract.We show that any Killing vector field on the unit tangent sphere bundle with Sasaki metric of a space of constant curvaturek≠ 1 is fiber preserving by studying some property of geodesies on the bundle. As a consequence, any Killing vector field on the unit tangent sphere bundle of a space of constant curvaturek≠ 1 can be extended to a Killing vector field on the tangent bundle.
Algebres nucleaires de fonctions entières et equations aux derivées partielles stochastiques
Authors: Ouerdiane H. 
Published: July 2016

En analyse du bruit blanc (W.N.A) on utilise usuellement le triplet de Gelfand (S(R) ⊂ L2(R, dt) ⊂ S′(R), μ) où S′(R) est l’espace de L. Schwartz des distributions tempérées et μ la mesure Gaussienne donnée par sa fonction caractéristique:(1)
On proper holomorphic mappings from domains with T-action
Authors: Coupet Bernard , Pan Yifei , Sukhov Alexandre 
Published: July 2016

AbstractWe describe the branch locus of a proper holomorphic mapping between two smoothly bounded pseudoconvex domains of finite type in under the assumption that the first domain admits a transversal holomorphic action of the unit circle. As an application we show that any proper holomorphic self-mapping of a smoothly bounded pseudoconvex complete circular domain of finite type in is biholomorphic.
Symplectic Capacities of Toric Manifolds and Related Results
Authors: Lu Guangcun 
Published: July 2016

AbstractIn this paper we give concrete estimations for the pseudo symplectic capacities of toric manifolds in combinatorial data. Some examples are given to show that our estimates can compute their pseudo symplectic capacities. As applications we also estimate the symplectic capacities of the polygon spaces. Other related results are impacts of symplectic blow-up on symplectic capacities, symplectic packings in symplectic toric manifolds, the Seshadri constant of an ample line bundle on toric manifolds, and symplectic capacities of symplectic manifolds withS1-action.
The Fourth-OrderQ-Curvature Flow on Closed 3-Manifolds
Authors: Chang Shu-Cheng , Wu Chin-Tung 
Published: July 2016

AbstractLet the Paneitz operatorP0be strictly positive on a closed 3-manifoldMwith a fixed conformal class. It is proved that the solution of a fourth-orderQ-curvature flow exists onMfor all time and converges smoothly to a metric of constantQ-curvature.
The Carathéodory–Cartan–Kaup–Wu Theorem on an Infinite-Dimensional Hilbert Space
Authors: Cima Joseph A. , Graham Ian , Kim Kang Tae , Krantz Steven G. 
Published: July 2016

AbstractThis paper treats a holomorphic self-mapping f: Ω → Ω of a bounded domain Ω in a separable Hilbert space with a fixed point p. In case the domain is convex, we prove an infinite-dimensional version of the Cartan-Carathéodory-Kaup-Wu Theorem. This is basically a rigidity result in the vein of the uniqueness part of the classical Schwarz lemma. The main technique, inspired by an old idea of H. Cartan, is iteration of the mapping f and its derivative. A normality result for holomorphic mappings in the compact-weak-open topology, due to Kim and Krantz, is used.
Large Deviations for Radial Random Walks on Homogeneous Trees
Authors: Ichihara Kanji 
Published: July 2016

AbstractDonsker-Varadhan’s type large deviation will be discussed for the pinned motion of a radial random walk on a homogeneous tree. We shall prove that the rate function corresponding to the large deviation is associated with a new Markov chain constructed from the above random walk through a harmonic transform based on a positive principal eigenfunction for the generator of the random walk.
Linear Differential Equations with Solutions in the Dirichlet Type Subspace of the Hardy Space
Authors: Heittokangas J. , Korhonen R. , Rättyä J. 
Published: July 2016

AbstractSufficient conditions for the analytic coefficients of the linear differential equationare found such that all solutions belong to a given -space, or to the Dirichlet type subspace Dp of the classical Hardy space Hp, where 0 < p ≤ 2. For 0 < q < ∞, the space consists of those functions f, analytic in the unit disc D, for which |f(z)|(1 – |z|2)q is uniformly bounded in D, and f ∈ Dp if the integral ∫D |f′(z)|p(1 – |z|2)p–1dσz converges.
Some Numerical Criteria for the Nash Problem on Arcs for Surfaces
Authors: Morales Marcel 
Published: July 2016

AbstractLet (X, O) be a germ of a normal surface singularity, π: → X be the minimal resolution of singularities and let A = (ai,j) be the n × n symmetrical intersection matrix of the exceptional set of In an old preprint Nash proves that the set of arcs on a surface singularity is a scheme , and defines a map from the set of irreducible components of to the set of exceptional components of the minimal resolution of singularities of (X,O). He proved that this map is injective and ask if it is surjective. In this paper we consider the canonical decomposition •For any couple (Ei,Ej) of distinct exceptional components, we define Numerical Nash condition (NN(i,j)). We have that (NN(i,j)) implies In this paper we prove that (NN(i,j)) is always true for at least the half of couples (i,j).•The condition (NN(i,j)) is true for all couples (i,j) with i ≠ j, characterizes a certain class of negative definite matrices, that we call Nash matrices. If A is a Nash matrix then the Nash map N is bijective. In particular our results depend only on A and not on the topological type of the exceptional set.•We recover and improve considerably almost all results known on this topic and our proofs are new and elementary.•We give infinitely many other classes of singularities where Nash Conjecture is true.The proofs are based on my old work [8] and in Plenat [10].
On certain Rankin-Selberg Integrals on GE6
Authors: Ginzburg David , Hundley Joseph 
Published: July 2016

AbstractIn this paper we begin the study of two Rankin-Selberg integrals defined on the exceptional group of type GE6. We show that each factorizes and that the contribution from the unramified places is, in one case, the degree 54 Euler product LS(π × τ, E6 × GL2,s) and in the other case the degree 30 Euler product LS(π × τ, ∧2 × GL2,s).
The Filtered Poincaré Lemma in Higher Level (With Applications to Algebraic Groups)
Authors: Le Stum Bernard , Quirós Adolfo 
Published: July 2016

AbstractWe show that the Poincaré lemma we proved elsewhere in the context of crystalline cohomology of higher level behaves well with regard to the Hodge filtration. This allows us to prove the Poincaré lemma for transversal crystals of levelm. We interpret the de Rham complex in terms of what we call the Berthelot-Lieberman construction and show how the same construction can be used to study the conormal complex and invariant differential forms of higher level for a group scheme. Bringing together both instances of the construction, we show that crystalline extensions of transversal crystals by algebraic groups can be computed by reduction to the filtered de Rham complexes. Our theory does not ignore torsion and, unlike in the classical case (m= 0), not all invariant forms are closed. Therefore, close invariant differential forms of levelmprovide new invariants and we exhibit some examples as applications.
Analytic Log Picard Varieties
Authors: Kajiwara Takeshi , Kato Kazuya , Nakayama Chikara 
Published: July 2016

AbstractWe introduce a log Picard variety over the complex number field by the method of log geometry in the sense of Fontaine-Illusie, and study its basic properties, especially, its relationship with the group of log version ofm-torsors.
Isoparametric Hypersurfaces with four Principal Curvatures Revisited
Authors: Chi Quo-Shin 
Published: July 2016

AbstractThe classification of isoparametric hypersurfaces with four principal curvatures in spheres in [2] hinges on a crucial characterization, in terms of four sets of equations of the 2nd fundamental form tensors of a focal submanifold, of an isoparametric hypersurface of the type constructed by Ferus, Karcher and Münzner. The proof of the characterization in [2] is an extremely long calculation by exterior derivatives with remarkable cancellations, which is motivated by the idea that an isoparametric hypersurface is defined by an over-determined system of partial differential equations. Therefore, exterior differentiating sufficiently many times should gather us enough information for the conclusion. In spite of its elementary nature, the magnitude of the calculation and the surprisingly pleasant cancellations make it desirable to understand the underlying geometric principles.In this paper, we give a conceptual, and considerably shorter, proof of the characterization based on Ozeki and Takeuchi’s expansion formula for the Cartan-Münzner polynomial. Along the way the geometric meaning of these four sets of equations also becomes clear.
Lusztig’sa-Function in TypeBnin the Asymptotic Case
Authors: Geck Meinolf , Iancu Lacrimioara 
Published: July 2016

AbstractIn this paper, we study Lusztig’s a-function for a Coxeter group with unequal parameters. We determine that function explicitly in the “asymptotic case” in typeBn, where the left cells have been determined in terms of a generalized Robinson-Schensted correspondence by Bonnafé and the second author. As a consequence, we can show that all of Lusztig’s conjectural properties (P1)–(P15) hold in this case, except possibly (P9), (P10) and (P15). Our methods rely on the “leading matrix coefficients” introduced by the first author. We also interprete the ideal structure defined by the two-sided cells in the associated Iwahori-Hecke algebraHnin terms of the Dipper-James-Murphy basis ofHn.
Normal families of meromorphic mappings of several complex variables for moving hypersurfaces in a complex projective space
Authors: Dethloff Gerd , Thai Do Duc , Thu Trang Pham Nguyen 
Published: July 2016

AbstractThe main aim of this article is to give sufficient conditions for a family of meromorphic mappings of a domainDin ℂninto ℙN(ℂ) to be meromorphically normal if they satisfy only some very weak conditions with respect to moving hypersurfaces in ℙN(ℂ), namely, that their intersections with these moving hypersurfaces, which moreover may depend on the meromorphic maps, are in some sense uniform. Our results generalize and complete previous results in this area, especially the works of Fujimoto, Tu, Tu-Li, Mai-Thai-Trang, and the recent work of Quang-Tan.
Bertini theorem for normality on local rings in mixed characteristic (applications to characteristic ideals)
Authors: Ochiai Tadashi , Shimomoto Kazuma 
Published: July 2016

AbstractIn this article, we prove a strong version of the local Bertini theorem for normality on local rings in mixed characteristic. The main result asserts that a generic hyperplane section of a normal, Cohen–Macaulay, and complete local domain of dimension at least 3 is normal. Applications include the study of characteristic ideals attached to torsion modules over normal domains, which is fundamental in the study of Euler system theory, Iwasawa's main conjectures, and the deformation theory of Galois representations.
p-adic Eisenstein-Kronecker series for CM elliptic curves and the Kronecker limit formulas
Authors: Bannai Kenichi , Furusho Hidekazu , Kobayashi Shinichi 
Published: July 2016

AbstractConsider an elliptic curve defined over an imaginary quadratic fieldKwith good reduction at the primes abovep≥ 5 and with complex multiplication by the full ring of integersof K. In this paper, we constructp-adic analogues of the Eisenstein-Kronecker series for such an elliptic curve as Coleman functions on the elliptic curve. We then provep-adic analogues of the first and second Kronecker limit formulas by using the distribution relation of the Kronecker theta function.
Orthographic knowledge and lexical form influence vocabulary learning
Authors: BARTOLOTTI JAMES , MARIAN VIORICA 
Published: July 2016

ABSTRACTMany adults struggle with second language acquisition but learn new native-language words relatively easily. We investigated the role of sublexical native-language patterns on novel word acquisition. Twenty English monolinguals learned 48 novel written words in five repeated testing blocks. Half were orthographically wordlike (e.g., nish, high neighborhood density and high segment/bigram frequency), while half were not (e.g., gofp, low neighborhood density and low segment/bigram frequency). Participants were faster and more accurate at recognizing and producing wordlike items, indicating a native-language similarity benefit. Individual differences in memory and vocabulary size influenced learning, and error analyses indicated that participants extracted probabilistic information from the novel vocabulary. Results suggest that language learners benefit from both native-language overlap and regularities within the novel language.
Semantic ambiguity norms for 530 Spanish words
Authors: HARO JUAN , FERRÉ PILAR , BOADA ROGER , DEMESTRE JOSEP 
Published: July 2016

ABSTRACTThis study presents semantic ambiguity norms for 530 Spanish words. Two subjective measures of semantic ambiguity and two subjective measures of relatedness of ambiguous word meanings were collected. In addition, two objective measures of semantic ambiguity were included. Furthermore, subjective ratings were obtained for some relevant lexicosemantic variables, such as concreteness, familiarity, emotional valence, arousal, and age of acquisition. In sum, the database overcomes some of the limitations of the published databases of Spanish ambiguous words; in particular, the scarcity of measures of ambiguity, the lack of relatedness of ambiguous word meanings measures, and the absence of a set of unambiguous words. Thus, it will be very helpful for researchers interested in exploring semantic ambiguity as well as for those using semantic ambiguous words to study language processing in clinical populations.