bluuebunny/crossref_metadata_2025_split huggingface dataset:
A general rigidity theorem for complete submanifolds
Authors: Shiohama Katsuhiro , Xu Hongwei 
Published: July 2016

Abstract.Making use of 1-forms and geometric inequalities we prove the rigidity property of complete submanifolds Mn with parallel mean curvature normal in a complete and simply connected Riemannian (n+p) -manifold Nn+p with positive sectional curvature. For given integers n, p and for a nonnegative constant H we find a positive number T(n,p) ∈ (0,1) with the property that if the sectional curvature of N is pinched in [T(n,p), 1], and if the squared norm of the second fundamental form is in a certain interval, then Nn+p is isometric to the standard unit (n + p)-sphere. As a consequence, such an M is congruent to one of the five models as seen in our Main Theorem.
On the Borel summability of divergent solutions of the heat equation
Authors: Lutz D. A. , Miyake M. , Schäfke R. 
Published: July 2016

AbstractIn recent years, the theory of Borel summability or multisummability of divergent power series of one variable has been established and it has been proved that every formal solution of an ordinary differential equation with irregular singular point is multisummable. For partial differential equations the summability problem for divergent solutions has not been studied so well, and in this paper we shall try to develop the Borel summability of divergent solutions of the Cauchy problem of the complex heat equation, since the heat equation is a typical and an important equation where we meet diveregent solutions. In conclusion, the Borel summability of a formal solution is characterized by an analytic continuation property together with its growth condition of Cauchy data to infinity along a stripe domain, and the Borel sum is nothing but the solution given by the integral expression by the heat kernel. We also give new ways to get the heat kernel from the Borel sum by taking a special Cauchy data.
Two meromorphic functions sharing five small functions in the sense of Ēk)(β, f) = Ēk)(β, g)
Authors: Yao Weihong 
Published: July 2016

AbstractIn this paper, we proved a result that if two meromorphic functions f(z) and g(z) share five small functions aj(z) (j = 1,…,5) in the sense of (j = 1,…,5) (k ≥ 22), then we have f(z) ≡ g(z).
On the number of moduli of extendable canonical curves
Authors: Ciliberto Ciro , Lopez Angelo Felice 
Published: July 2016

AbstractLet C ⊂ ℙg−1 be a canonical curve of genus g. In this article we study the problem of extendability of C, that is when there is a surface S ⊂ ℙg different from a cone and having C as hyperplane section. Using the work of Epema we give a bound on the number of moduli of extendable canonical curves. This for example implies that a family of large dimension of curves that are cover of another curve has general member nonextendable. Using a theorem of Wahl we prove the surjectivity of the Wahl map for the general k-gonal curve of genus g when k = 5, g ≥ 15 or k = 6, g ≥ 13 or k ≥ 7, g ≥ 12.
On classification of ℚ-fano 3-folds of Gorenstein index 2. I
Authors: Takagi Hiromichi 
Published: July 2016

AbstractWe formulate a generalization of K. Takeuchi’s method to classify smooth Fano 3-folds and use it to give a list of numerical possibilities of ℚ-Fano 3-foldsXwith PicX= ℤ(−2KX) andh0(−KX) ≥ 4 containing index 2 pointsPsuch that (X, P) ≃ ({xy+z2+ua= 0}/ℤ2(1, 1, 1, 0),o) for somea∈ ℕ. In particular we prove that then (–KX)3≤ 15 andh0(–KX) ≤ 10. Moreover we show that such anXis birational to a simpler Mori fiber space.
Gauss-Manin connection via Witt-Differentials
Authors: Langer Andreas , Zink Thomas 
Published: July 2016

AbstractLet X/R be a smooth scheme over a ring R. Consider the category of locally free crystals of finite rank on the situs Crys(X/Wt(R)). We show that it is equivalent to the category of locally free -modules of finite rank endowed with a nilpotent, integrable de Rham-Witt connection. In the case where R is a perfect field this was shown by Etesse [E] and Bloch [Bl]. We use the result for a construction of the Gauß-Manin connection as a de Rham-Witt connection.
The 2-Dimensional Calabi Flow
Authors: Chang Shu-Cheng 
Published: July 2016

AbstractIn this paper, based on a Harnack-type estimate and a local Sobolev constant bounded for the Calabi flow on closed surfaces, we extend author’s previous results and show the long-time existence and convergence of solutions of 2-dimensional Calabi flow on closed surfaces. Then we establish the uniformization theorem for closed surfaces.
Algebraic Surfaces of General Type with Small c21 in Positive Characteristic
Authors: Liedtke Christian 
Published: July 2016

AbstractWe establish Noether’s inequality for surfaces of general type in positive characteristic. Then we extend Enriques’ and Horikawa’s classification of surfaces on the Noether line, the so-called Horikawa surfaces. We construct examples for all possible numerical invariants and in arbitrary characteristic, where we need foliations and deformation techniques to handle characteristic 2. Finally, we show that Horikawa surfaces lift to characteristic zero.
Acyclicity of Complexes of Flat Modules
Authors: Hashimoto Mitsuyasu 
Published: July 2016

AbstractLet R be a noetherian commutative ring, anda complex of flat R-modules. We prove that if is acyclic for every ρ ϵ Spec R, then is acyclic, and H0() is R-flat. It follows that if is a (possibly unbounded) complex of flat R-modules and is exact for every ρ ϵ Spec R, then is exact for every R-complex . If, moreover, is a complex of projective R-modules, then it is null-homotopic (follows from Neeman’s theorem).
An Invariant Regarding Waring’s Problem for Cubic Polynomials
Authors: Ottaviani Giorgio 
Published: July 2016

AbstractWe compute the equation of the 7-secant variety to the Veronese variety (P4,O(3)), its degree is 15. This is the last missing invariant in the Alexander-Hirschowitz classification. It gives the condition to express a homogeneous cubic polynomial in 5 variables as the sum of 7 cubes (Waring problem). The interesting side in the construction is that it comes from the determinant of a matrix of order 45 with linear entries, which is a cube. The same technique allows to express the classical Aronhold invariant of plane cubics as a pfaffian.
Test Ideals Vs. Multiplier Ideals
Authors: Mustaţă Mircea , Yoshida Ken-Ichi 
Published: July 2016

AbstractThe generalized test ideals introduced in [HY] are related to multiplier ideals via reduction to characteristic p. In addition, they satisfy many of the subtle properties of the multiplier ideals, which in characteristic zero follow via vanishing theorems. In this note we give several examples to emphasize the different behavior of test ideals and multiplier ideals. Our main result is that every ideal in an F-finite regular local ring can be written as a generalized test ideal. We also prove the semicontinuity of F-pure thresholds (though the analogue of the Generic Restriction Theorem for multiplier ideals does not hold).
On the homology of branched coverings of 3-manifolds
Authors: Ueki Jun 
Published: July 2016

AbstractFollowing the analogies between 3-manifolds and number rings in arithmetic topology, we study the homology of branched covers of 3-manifolds. In particular, we show some analogues of Iwasawa’s theorems on ideal class groups and unit groups, Hilbert’s Satz 90, and some genus-theory–type results in the context of 3-dimensional topology. We also prove that the 2-cycles valued Tate cohomology of branched Galois covers is a topological invariant, and we give a new insight into the analogy between 2-cycle groups and unit groups.
A dual to tight closure theory
Authors: Epstein Neil , Schwede Karl 
Published: July 2016

AbstractWe introduce an operation on modules over anF-finite ring of characteristicp. We call this operationtight interior. While it exists more generally, in some cases this operation is equivalent to the Matlis dual of tight closure. Moreover, the interior of the ring itself is simply the big test ideal. We directly prove, without appeal to tight closure, results analogous to persistence, colon capturing, and working modulo minimal primes, and we begin to develop a theory dual to phantom homology. Using our dual notion of persistence, we obtain new and interesting transformation rules for tight interiors, and so in particular for the test ideal. Using our theory of phantom homology, we prove a vanishing theorem for maps of Ext. We also compare our theory with Blickle’s notion of Cartier modules, and in the process we prove new existence results for Blickle’s test submodule. Finally, we apply the theory we developed to the study of test ideals in nonnormal rings, proving that the finitistic test ideal coincides with the big test ideal in some cases.
L-functions of p-adic characters
Authors: Davis Christopher , Wan Daqing 
Published: July 2016

AbstractWe define ap-adic character to be a continuous homomorphism fromForp&gt; 2, we use the ring of big Witt vectors overto exhibit a bijection betweenp-adic characters and sequences (ci)(i,p)=1of elements inindexed by natural numbers relatively prime top, and for which. To such ap-adic character we associate anL-function, and we prove that thisL-function isp-adic meromorphic if the corresponding sequence (ci) is overconvergent. If more generally the sequence isClog-convergent, we show that the associatedL-function is meromorphic in the open disk of radiusqC. Finally, we exhibit examples ofClog-convergent sequences with associatedL-functions which are not meromorphic in the disk of radiusqC+∊for any∊&gt; 0.
Tensor Product Structure of Affine Demazure Modules and Limit Constructions
Authors: Fourier G. , Littelmann P. 
Published: July 2016

AbstractLet g be a simple complex Lie algebra, we denote by ĝ the affine Kac-Moody algebra associated to the extended Dynkin diagram of g. Let Λ0 be the fundamental weight of ĝ corresponding to the additional node of the extended Dynkin diagram. For a dominant integral g-coweight λ∨, the Demazure submodule V_λ∨ (mΛ0) is a g-module. We provide a description of the g-module structure as a tensor product of “smaller” Demazure modules. More precisely, for any partition of λ∨ = λ∑j as a sum of dominant integral g-coweights, the Demazure module is (as g-module) isomorphic to ⊗jV_ (mΛ0). For the “smallest” case, λ∨ = ω∨ a fundamental coweight, we provide for g of classical type a decomposition of V_ω∨(mΛ0) into irreducible g-modules, so this can be viewed as a natural generalization of the decomposition formulas in [13] and [16]. A comparison with the Uq(g)-characters of certain finite dimensional -modules (Kirillov-Reshetikhin-modules) suggests furthermore that all quantized Demazure modules V_λ∨,q(mΛ0) can be naturally endowed with the structure of a -module. We prove, in the classical case (and for a lot of non-classical cases), a conjecture by Kashiwara [10], that the “smallest” Demazure modules are, when viewed as g-modules, isomorphic to some KR-modules. For an integral dominant ĝ-weight Λ let V(Λ) be the corresponding irreducible ĝ-representation. Using the tensor product decomposition for Demazure modules, we give a description of the g-module structure of V(Λ) as a semi-infinite tensor product of finite dimensional g-modules. The case of twisted affine Kac-Moody algebras can be treated in the same way, some details are worked out in the last section.
Kazhdan-Lusztig Basis and a Geometric Filtration of an Affine Hecke Algebra
Authors: Tanisaki Toshiyuki , Xi Nanhua 
Published: July 2016

AbstractAccording to Kazhdan-Lusztig and Ginzburg, the Hecke algebra of an affine Weyl group is identified with the equivariant K-group of Steinberg’s triple variety. The K-group is equipped with a filtration indexed by closed G-stable subvarieties of the nilpotent variety, where G is the corresponding reductive algebraic group over ℂ. In this paper we will show in the case of type A that the filtration is compatible with the Kazhdan-Lusztig basis of the Hecke algebra.
The monodromy representation and twisted period relations for Appell’s hypergeometric function F 4
Authors: Goto Yoshiaki , Matsumoto Keiji 
Published: July 2016

AbstractWe consider the systemF4(a, b, c)of differential equations annihilating Appell's hypergeometric seriesF4(a,b,c;x). We find the integral representations for four linearly independent solutions expressed by the hypergeometric seriesF4. By using the intersection forms of twisted (co)homology groups associated with them, we provide the monodromy representation ofF4(a, b, c)and the twisted period relations for the fundamental systems of solutions ofF4.
The M-set of λ exp(z)/z has infinite area
Authors: Zhan Guoping , Liao Liangwen 
Published: July 2016

AbstractIt is known that the Fatou set of the map exp(z)/zdefined on the punctured plane ℂ*is empty. We consider theM-set of λ exp(z)/zconsisting of all parameters λ for which the Fatou set of λexp(z)/zis empty. We prove that theM-set of λexp(z)/zhas infinite area. In particular, the Hausdorff dimension of theM-set is 2. We also discuss the area of complement of theM-set.
‘Because of your hardness of heart’: Calvin and the limits of law
Authors: Tuininga Matthew J. 
Published: July 2016

AbstractThis article proposes that Calvin's ‘hardness of heart’ principle functions as a substantive limitation on political authority and the law, creating the legal space for meaningful moral pluralism. Calvin distinguished between the spiritual and civil uses of the law, as well as between the natural moral law and the civil law within the Mosaic law. He repeatedly used Jesus' concept of ‘hardness of heart’ to explain inadequacies within the Mosaic law and to articulate a general principle about the nature and limits of civil law. This approach has important implications for law and morality in contemporary contexts characterised by a degree of moral pluralism that Calvin scarcely could have anticipated.
Shrinking pigeon, brooding dove: the Holy Spirit in recent works by Sarah Coakley and N. T. Wright
Authors: McNall Joshua 
Published: July 2016

AbstractThis article contrasts recent works by Sarah Coakley and N. T. Wright as they pertain to Paul's treatment of the Holy Spirit. In particular, Coakley reveals the inadequacy of Wright's claim that the early fathers were impeded in developing a high view of the Spirit because of an allegiance to ‘Greek philosophy’. Likewise, Wright's more comprehensive treatment of Paul helps to reveal potential problems with Coakley's apophatic tendency to describe the human encounter with God as ‘a love affair with a blank’. In the end, however, both thinkers are united in acknowledging the leading activity of the Spirit, both in prayer and in enabling the Christian to declare that ‘Jesus is Lord’ (1 Cor 12:3). In these ways, both authors converge in an attempt to restore the Holy Spirit to a rightful place in Christian theology and devotion.
Three-dimensional formation control based on filter backstepping method for multiple underactuated underwater vehicles
Authors: Qi Xue , Cai Zhi-jun 
Published: July 2016

SUMMARYThis paper proposes a leader following formation tracking controller for multiple underactuated underwater vehicles (UUVs) which move in three dimensional space. In order to avoid the derivative of the virtual control signals, a control method based on filter backstepping is proposed. The method can significantly simplify the design process of the backstepping controller through the use of a filter rather than the analytic derivation directly to the virtual control variable. Furthermore, the influence of measurement noise is obviously weakened. The stability of the formation system of multiple UUVs has been proved based on Lyapunov stability theory. Simulation results illustrate that the designed controller can track a three-dimensional formation trajectory accurately.
The use of measurements of energy status in pregnant ewes
Authors: Russel A.J.F. 
Published: July 2016

The need to assess the adequacy of nutrition arises frequently. It occurs in relation to individual animals and to groups of animals in both experimental situations and in commercial practice.The measurement of food intake poses certain difficulties and involves a considerable amount of time and effort, particularly with grazing animals, but also with housed animals which are group–fed. Even where food intakes can be measured, the assessment of the adequacy of that nutrition necessitates a knowledge of the animal's requirements – and this too can present problems in some situations. Changes in live weight and in body condition are obvious and useful indices of the adequacy of nutrition, but in many cases the time taken for such changes to become manifest is too great. By the time an excessive rate of live–weight loss has been detected it may be either too late to effect a change in the level of feeding, or an unacceptable production penalty may have already been incurred.
Automation in Dairying - Developments in the Netherlands
Authors: Rossing W. 
Published: July 2016

Not only in industry but also in agriculture there is an increased use of electronics for controlling routine work.On large dairy farms where one man milks 50 to 60 cows per hour it is no longer possible to pay due attention to infected cows, cows on heat, individual production levels and the required amount of concentrates per animal.The IMAG research aims at providing the dairy farmer with more information about his animals, so that he is better able to make his decisions.
Selecting finished stock for slaughter
Authors: Smith C. P. 
Published: July 2016

With the emphasis on producing finished stock to a required specification, it is important that the producer should be able to estimate the potential carcass characteristics of his stock.MLC has produced two slide tape presentations for use with farming audiences which take a step-by-step approach to this subject. The slide tapes concentrate on the assessment of fat level, which is very much under the control of the producer. Carcass shape, on the other hand, is strongly related to breed and is far less manipulatable by short-term management.
Producing and selling beef in scotland (match or mismatch?)
Authors: Aitken R. G. 
Published: July 2016

A study was carried out during 1981-82, to assess how far the present production of prime beef in Scotland coincided with the declared preferences of the meat trade.Three main buyer groups were identified, namely, independent butchers, multiple retailers and wholesalers. Each group had differing needs, which can be summarized under the headings of live weight, sex, conformation/fatness and breed type of cattle (Table 5.15.1). Multiple retailers preferred steers between 451 and 550 kg or, in some cases, heavier and there was a general reluctance to accept heifers. Many butchers on the other hand preferred heifers to steers. The weight of heifer preferred was up to 450 kg (to avoid overfatness). The needs of wholesalers, which are not shown in the Table, were best met by a wider weight range of steers — reflecting the need to satisfy different customers and their role in clearing the market.
Transmittable diseases: the lessons from bovine spongiform encephalopathy (BSE)
Authors: Bradley R. 
Published: July 2016

AbstractBSE was first discovered in November 1986 and by July 1991 about 60 000 cases had been confirmed in Great Britain with a low incidence being reported in Northern Ireland, the Republic of Ireland, Switzerland and France. The origin of the extended common source epidemic appears to have been food containing meat and bone meal which contained the causal agent. Recycling of infected cattle waste was significant in increasing exposure, at least from the time of the first unrecognized clinical appearance of the disease in 1985. Small numbers of five species ofBovidaein British zoos, domestic cats, a puma and a cheetah have also succumbed to a newly described spongiform encephalopathy. It is anticipated that as a result of the imposition of a ruminant food ban in countries affected by BSE new infections from food have ceased and the incidence of BSE will fall to zero provided there is no other source of infection. Effective controls are in place in Great Britain and Northern Ireland to protect animal and public health. These include disease notification, compulsory slaughter of suspect animals and incineration of the carcasses, a ban on the feeding of specified bovine offals from cattle over 6 months of age or protein derived from them to man, or any species of animal or bird, and a ban on the feeding of ruminant protein to ruminant animals. Genetic studies are still in progress but there is no epidemiological evidence supporting breed predisposition and bovine PrP gene polymorphisms have not been linked with disease occurrence. The lessons from BSE include: the need to retain an animal health surveillance system to detect new and emerging diseases; a strong veterinary research base in unconventional agent disease; and a powerful epidemiology discipline with access to computerized data recording systems, analytical and modelling expertise. Major changes to the composition or processing of animal food, particularly that derived from sources which are not natural for the consuming species, should be carefully monitored for safety before being permitted.
Veterinary drug residues: an overview of the current position in the European Community
Authors: Heitzman R. J. 
Published: July 2016

AbstractInformation and legislation on the regulation of residues of veterinary drugs within the European Community (EC) is aimed at harmonizing the actions by member states to improve intra-community trade and provide meat and meat products safe for consumption in the EC. The information comes from many different sources. The aim of this paper is to coordinate the separate information.The key areas of interest are: use and abuse of veterinary drugs in meat production; EC Directive 86/469 on residues and associated legislation; development of methodology for residue analysis; preparation of reference materials (RMs) through the research programme of the Bureau of Community Reference (BCR); the establishment of maximum residue limits (MRLs) by the Committee for Veterinary Medicinal Products (CVMP); the rôle of the Community and National Reference Laboratories (CRL, NRL); the rôle of the Reference Manual on Residues of Veterinary Drugs.The relationships between the above are discussed; in particular the important rôles of the CRL and the Reference Manual to disseminate and coordinate information.
The Welsh lamb premium scheme in practice
Authors: Zalick N. 
Published: July 2016

AbstractThe topography and climate of Wales dictate that there is no realistic alternative to livestock production; sheep rearing is a virtual necessity. The output value of the Welsh sheep industry, with approximately 5.5 million breeding ewes, is well in excess of £200 million.Welsh Lamb Enterprise (WLE) was established in 1982 by a group of lamb producers in Wales who recognized the importance of efficient promotion and marketing. In 1985, WLE launched a Quality Assurance Scheme to identify Premium Quality Welsh Lamb, and to ensure a regular supply of Welsh lamb that was guaranteed to be of a consistently high specification. In setting up the scheme, there was close co-operation with Food From Britain to ensure that it had a meaningful standard.All participating abattoirs have to comply with strict regulations and undergo rigid independent inspections. Only lean carcasses of the highest quality are given the stamp of approval. Under WLE specifications, Premium Quality Welsh lambs must not be above fat class 3L and have conformation levels of E, U and R. Certified carcasses are clearly identified, and retail packs of fresh, chilled meat must carry a ‘use by’ date and full instructions for domestic storage. A network of wholesalers has been established so that orders for Premium Quality Welsh Lamb may be processed rapidly for immediate delivery anywhere in England and Wales.During its first year of operation, approximately 67 000 lambs were accepted into the Quality Assurance Scheme; currently, the number is closer to 500 000.