bluuebunny/crossref_metadata_2025_split huggingface dataset:
Algebraic Riemann manifolds
Authors: Yamato Kazuo 
Published: July 2016

In the present paper, we are concerned with the problem to know whether two algebraic Riemann manifolds are isometric or not, where we mean Riemann manifolds of class CΩ (real algebraic smoothness or Nash category) simply by algebraic Riemann manifolds.For this purpose we introduce notions of minimal differential polynomials and singular base points, both of which are isometry invariants. With the aid of these invariants, we give the following isometry theorem for algebraic Riemann manifolds:
Determinants in Projective Modules
Authors: Goldman Oscar 
Published: July 2016

The definition of the determinant of an endomorphism of a free module depends on the following fact: If F is a free R-module of rank n, then the homogeneous component ∧nF, of degree n, of the exterior algebra ∧ F of F is a free R-module of rank one. If a is an endomorphism of F, then a extends to an endomorphism of ∧ F which in ∧nF is therefore multiplication by an element of R. That factor is then defined to be the determinant of α. (A discussion of this theory may be found in [4].)This procedure cannot be applied in general to finitely generated projective modules since, for such modules, it may happen that no homogeneous component of the exterior algebra is free of rank one.
Cluster Sets of Pseudomeromorphic Functions
Authors: Storvick D. A. 
Published: July 2016

Let w = f(z) = u(x, y) + iv(x, y) be an interior transformation in the sense of Stoïlow in an arbitrary domain D, i.e. w = f(z) is continuous and single-valued in D, and unless constant takes open sets in D into open sets in the w-plane, and does not take any continuum (other than a single point) into a single point of the w-plane. Stoïlow proved that such an interior transformation can be represented aswhere T(z) = ξ is a topological mapping of D onto a domain D′ and w = φ(ξ) is a meromorphic function in D′.
Fundamental Exact Sequences in (co)-Homology for Non-Normal Subgroups
Authors: Nakayama Tadasi 
Published: July 2016

In this paper we prove the fundamental exact sequence in (co)homology for non-normal subgroups announced in our previous note [8]: Let H be a subgroup of a group G. If M is a G-module and if, for a natural number n, Hm(U, M) = 0 for m = 1, …, n - 1 and for every subgroup U of H which is an intersection of conjugates of H in G, then we have an exact sequencethe significance of the maps and the group Hn(H, M, M)1 will be explained below. (We have a dual result for cohomology groups).
On the structure of 4-folds with a hyperplane section which is a P1 bundle over a surface that fibres over a curve
Authors: Fania Maria Lucia , Sato Eiichi , Sommese Andrew John 
Published: July 2016

In this article we want to analyze the structure of a 4 dimensional projective variety X which has a smooth ample divisor A that is a P1 bundle π : A→S over a smooth surface S.In [Fa+So], as a consequence of a more general result, the first and third authors determined the structure of X in the case the base S of the P1 bundle A has a cover with h2,0()≠0. Here we look at the remaining cases except for those surfaces which are the projectivization of a stable rank two vector bundle over a curve (the result is obviously true for S rational).
On pseudoelliptic systems of first order differential equations
Authors: Ueno Kazushige 
Published: July 2016

In the study of elliptic differential operators of second order, we found that the automorphism pseudogroups are of finite type ([4]). However this fact takes a complete change in elliptic differential operators of first order.So as to make the objects which can be dealt with clear, we introduce the concept of pseudoellipticity of first order differential operators (Definition 1.1), which is naturally satisfied by first order elliptic differential operators.
On the topology of full non-degenerate complete intersection variety
Authors: Oka Mutsuo 
Published: July 2016

Let h1(u),…, hk(u) be Laurent polynomials of m-variables and letbe a non-degenerate complete intersection variety. Such an intersection variety appears as an exceptional divisor of a resolution of non-degenerate complete intersection varieties with an isolated singularity at the origin (Ok4]).
Number of generators of ideals
Authors: Elias Juan , Robbiano Lorenzo , Valla Giuseppe 
Published: July 2016

Let I be a homogeneous ideal of a polynomial ring over a field, v(I) the number of elements of any minimal basis of I, e = e(I) the multiplicity or degree of R/I, h = h(I) the height or codimension of I, i = indeg (I) the initial degree of J, i.e. the minimal degree of non zero elements of I.This paper is mainly devoted to find bounds for v(I) when I ranges over large classes of ideals. For instance we get bounds when I ranges over the set of perfect ideals with preassigned codimension and multiplicity and when I ranges over the set of perfect ideals with preassigned codimension, multiplicity and initial degree. Moreover all the bounds are sharp since they are attained by suitable ideals. Now let us make some historical remarks.
The minimum and the primitive representation of positive definite quadratic forms
Authors: Kitaoka Yoshiyuki 
Published: July 2016

Let M, N be positive definite quadratic lattices over Z with rank(M) = m and rank(N) = n respectively. When there is an isometry from M to N, we say that M is represented by N (even in the local cases). In the following, we assume that the localization Mp is represented by Np for every prime p. Let us consider the following assertion Am,n(N):Am,n(N): There exists a constant c(N) dependent only on N so that M is represented by N if min(M) > c(N), where min(M) denotes the least positive number represented by M.
The moments of the zeta-function on the line σ = 1
Authors: Ivić Aleksandar 
Published: July 2016

The evaluation of the integral(1.1) represents one of the fundamental problems of the theory of the Riemann zeta-function (see [4] for a comprehensive account). In view of the functional equationit is clear that one has to distinguish between the following three principal cases:
a)σ = 1/2 (“the critical line”),b)1/2 < σ < 1 (“the critical strip”),c)σ = 1.
Solutions of the second and fourth Painlevé equations, I
Authors: Umemura Hiroshi , Watanabe Humihiko 
Published: July 2016

AbstractA rigorous proof of the irreducibility of the second and fourth Painlevé equations is given by applying Umemura’s theory on algebraic differential equations ([26], [27], [28]) to the two equations. The proof consists of two parts: to determine a necessary condition for the parameters of the existence of principal ideals invariant under the Hamiltonian vector field; to determine the principal invariant ideals for a parameter where the principal invariant ideals exist. Our method is released from complicated calculation, and applicable to the proof of the irreducibility of the third, fifth and sixth equation (e.g. [32]).
The norm estimate of the difference between the Kac operator and the Schrödinger semigroup: A unified approach to the nonrelativistic and relativistic cases
Authors: Ichinose Takashi , Takanobu Satoshi 
Published: July 2016

Abstract.An Lp operator norm estimate of the difference between the Kac operator and the Schrödinger semigroup is proved and used to give a variant of the Trotter product formula for Schrödinger operators in the Lp operator norm. The method of the proof is probabilistic based on the Feynman-Kac formula. The problem is discussed in the relativistic as well as nonrelativistic case.
Uniqueness problem with truncated multiplicities in value distribution theory
Authors: Fujimoto Hirotaka 
Published: July 2016

Abstract.In 1929, H. Cartan declared that there are at most two meromorphic functions on ℂ which share four values without multiplicities, which is incorrect but affirmative if they share four values counted with multiplicities truncated by two. In this paper, we generalize such a restricted H. Cartan’s declaration to the case of maps into PN (ℂ). We show that there are at most two nondegenerate meromorphic maps of ℂn into PN(ℂ) which share 3N + 1 hyperplanes in general position counted with multiplicities truncated by two. We also give some degeneracy theorems of meromorphic maps into PN (ℂ) and discuss some other related subjects.
Density measure of rational points on Abelian varieties
Authors: Waldschmidt Michel 
Published: July 2016

AbstractLetbe a simple Abelian variety of dimensiongover ℚ, and let ℓ be the rank of the Mordell-Weil group(ℚ). Assume ℓ ≥ 1. A conjecture of Mazur asserts that the closure of(ℚ) into(ℝ) for the real topology contains the neutral component(ℝ)0of the origin. This is known only under the extra hypothesisℓ ≥ g2- g +1. We investigate here a quantitative refinement of this question: for each given positiveh, the set of points in(ℚ) of Néron-Tate height≤ his finite, and we study how these points are distributed into the connected component(ℝ)0. More generally we consider an Abelian varietyAover a number fieldKembedded in ℝ, and a subgroupΓof(K) of sufficiently large rank. The effective result of density we obtain relies on an estimate of Diophantine approximation, namely a lower bound for linear combinations of determinants involving Abelian logarithms.
-problem on weakly 1-complete Kähler manifolds
Authors: Kazama Hideaki , Takayama Shigeharu 
Published: July 2016

AbstractWe consider a problem whether Kodaira’s -Lemma holds on weakly 1-complete Kähler manifolds or not. This problem was proposed by S. Nakano. We prove that the Lemma holds for some class of complex quasi-tori ℂn/Γ, and it does not hold for the other class of them. Every complex quasi-tori is weakly 1-complete and complete Kähler. Then we get a negative answer for the above problem.
Sous-algèbres birégulières d’une algèbre de Kac-Moody-Borcherds
Authors: Bardy Nicole 
Published: July 2016

Let be a Kac-Moody-Borcherds algebra on a field associated to a symetrizable matrix and with Cartan subalgebra . Let be an ad -invariant subalgebra such that the restriction to of the standard bilinear form is nondegenerate. We show that the root system Ψ of is a subsystem according to [Ba] of . Moreover, if a subsystem Ω satisfies some conditions (i.e. Ω is “réduit et presque-clos”) of Ψ, we construct inside of a Kac-Moody-Borcherds algebra with root system Ω.Let k be a subfield of . We prove similar results in the case of an action of a finite group of k-semi-automorphisms. In particular, we obtain a generalization to the Kac-Moody case of a result by Borel and Tits.Let be an almost-k-split form of a Kac-Moody algebra. We construct a Kac-Moody k-algebra with root system similar to the system of (save on some multiples of certain roots).
An analogue of Pitman’s 2M – Xtheorem for exponential Wiener functionals: Part I: A time-inversion approach
Authors: Matsumoto Hiroyuki , Yor Marc 
Published: July 2016

Letbe a one-dimensional Brownian motion with constant driftµ∈ R starting from 0. In this paper we show thatgives rise to a diffusion process and we explain how this result may be considered as an extension of the celebrated Pitman’s2M - Xtheorem. We also derive the infinitesimal generator and some properties of the diffusion processand, in particular, its relation to the generalized Bessel processes.
Multi-flag systems and ordinary differential equations
Authors: Kumpera A. , Rubin J. L. 
Published: July 2016

AbstractWe discuss the Monge problem for under-determined systems of ordinary differential equations with an arbitrary degree of freedom and give a sufficient condition, in terms of truncated multi-flag systems, for the Monge property to hold. This condition extends in a natural way the Cartan criterion valid for systems with one degree of freedom.
On Gorenstein surfaces dominated by P2
Authors: Gurjar R. V. , Pradeep C. R. , Zhang D.-Q. 
Published: July 2016

AbstractIn this paper we prove that a normal Gorenstein surface dominated by P2 is isomorphic to a quotient P2/G, where G is a finite group of automorphisms of P2 (except possibly for one surface ). We can completely classify all such quotients. Some natural conjectures when the surface is not Gorenstein are also stated.
Glauber dynamics for fermion point processes
Authors: Shirai Tomoyuki , Yoo Hyun Jae 
Published: July 2016

AbstractWe construct a Glauber dynamics on {0, 1}ℛ, ℛ a discrete space, with infinite range flip rates, for which a fermion point process is reversible. We also discuss the ergodicity of the corresponding Markov process and the log-Sobolev inequality.
Non decay of the total energy for the wave equation with the dissipative term of spatial anisotropy
Authors: Kawashita Mishio , Nakazawa Hideo , Soga Hideo 
Published: July 2016

AbstractWe consider the behavior of the total energy for the wave equation with the dissipative term. When the dissipative term works well uniformly in every direction, several authors obtain uniform decay estimates of the total energy. On the other hand, if the dissipative term is small enough uniformly in every direction, it is known that there exists a solution whose total energy does not decay. We examine the case that the dissipative term vanishes only in a neighborhood of a half-line. We introduce a uniform decay property, which is a natural generalization of the uniform decay estimates, and show that this property does not hold in our case. We prove this by constructing asymptotic solutions supported in the place where the dissipative term vanishes.
Toeplitz operators on harmonic Bergman spaces
Authors: Choe Boo Rim , Lee Young Joo , Na Kyunguk 
Published: July 2016

AbstractWe study Toeplitz operators on the harmonic Bergman spaces on bounded smooth domains. Two classes of symbols are considered; one is the class of positive symbols and the other is the class of uniformly continuous symbols. For positive symbols, boundedness, compactness, and membership in the Schatten classes are characterized. For uniformly continuous symbols, the essential spectra are described.
Amalgams Determined By Locally Projective Actions
Authors: Ivanov A. A. , Shpectorov S. V. 
Published: July 2016

AbstractA locally projective amalgam is formed by the stabilizer G(x) of a vertex x and the global stabilizer G{x, y} of an edge (containing x) in a group G, acting faithfully and locally finitely on a connected graph Γ of valency 2n - 1 so that (i) the action is 2-arc-transitive; (ii) the subconstituent G(x)Γ(x) is the linear group SLn(2) = Ln(2) in its natural doubly transitive action and (iii) [t, G{x, y}] < O2(G(x) n G{x, y}) for some t G G{x, y} \ G(x). D. Z. Djokovic and G. L. Miller [DM80], used the classical Tutte’s theorem [Tu47], to show that there are seven locally projective amalgams for n = 2. Here we use the most difficult and interesting case of Trofimov’s theorem [Tr01] to extend the classification to the case n > 3. We show that besides two infinite series of locally projective amalgams (embedded into the groups AGLn(2) and O2n+(2)) there are exactly twelve exceptional ones. Some of the exceptional amalgams are embedded into sporadic simple groups M22, M23, Co2, J4 and BM. For each of the exceptional amalgam n = 3, 4 or 5.
On i-Adic Iterated integrals, I analog of zagier conjecture
Authors: Wojtkowiak ZdzisLaw 
Published: July 2016

AbstractWe are studying some aspects of the action of Galois groups on the torsor of paths connecting two (possibly tangential) points on a projec-tive line minus a finite number of points. We obtain objects which formally behave like classical iterated integrals and polylogarithms. We formulate an analog of Zagier conjecture for these l-adic analogs of iterated integrals and polylogarithms.
Addendum to the Paper “A note on Weighted bergman Spaces and the cesaro operator”
Authors: Chang Der-Chen , Stević Stevo 
Published: July 2016

AbstractLet H(Dn) be the space of holomorphic functions on the unit polydisk Dn, and let , where p, q> 0, α = (α1,…,αn) with αj > -1, j =1,..., n, be the class of all measurable functions f defined on Dn such thatwhere Mp(f,r) denote the p-integral means of the function f. Denote the weighted Bergman space on . We provide a characterization for a function f being in . Using the characterization we prove the following result: Let p> 1, then the Cesàro operator is bounded on the space .
The Ohsawa-Takegoshi Extension Theorem on Some Unbounded Sets
Authors: Dinew Żywomir 
Published: July 2016

AbstractWe use a method of Berndtsson to obtain a simplification of Ohsawa’s result concerning extension of L2-holomorphic functions. We also study versions of the Ohsawa-Takegoshi theorem for some unbounded pseudoconvex domains, with an application to the theory of Bergman spaces. Using these methods we improve some constants, that arise in related inequalities.
Hartogs Type Theorems for CR L2 Functions on Coverings of Strongly Pseudoconvex Manifolds
Authors: Brudnyi Alexander 
Published: July 2016

AbstractWe prove an analog of the classical Hartogs extension theorem for CR L2 functions defined on boundaries of certain (possibly unbounded) domains on coverings of strongly pseudoconvex manifolds. Our result is related to a question formulated in the paper of Gromov, Henkin and Shubin [GHS] on holomorphic L2 functions on coverings of pseudoconvex manifolds.
Hecke’s Integral Formula for Relative Quadratic Extensions of Algebraic Number Fields
Authors: Yamamoto Shuji 
Published: July 2016

AbstractLet K/F be a quadratic extension of number fields. After developing a theory of the Eisenstein series over F, we prove a formula which expresses a partial zeta function of K as a certain integral of the Eisenstein series. As an application, we obtain a limit formula of Kronecker’s type which relates the 0-th Laurent coefficients at s = 1 of zeta functions of K and F.
A Packing Problem for Holomorphic Curves
Authors: Tsukamoto Masaki 
Published: July 2016

AbstractWe propose a new approach to the value distribution theory of entire holomorphic curves. We definepacking densityof Brody curves, and show that it has various non-trivial properties. The packing density of Brody curves can be considered as an infinite dimensional version of characteristic number, and it has an application to Gromov’s mean dimension theory.
Canonical Bases of Borcherds-Cartan Type
Authors: Li Yiqiang , Lin Zongzhu 
Published: July 2016

AbstractWe study the canonical basis for the negative part U- of the quantum generalized Kac-Moody algebra associated to a symmetric Borcherds-Cartan matrix. The algebras U- associated to two different matrices satisfying certain conditions may coincide (6.3). We show that the canonical bases coincide provided that the algebras U- coincide (Theorem 6.3.5). We also answer partially a question by Lusztig in [L3] (Theorem 7.1.1).
On Okuyama’s Theorems about Alvis-Curtis Duality
Authors: Cabanes Marc 
Published: July 2016

AbstractWe report on theorems by T. Okuyama about complexes generalizing the Coxeter complex and the action of parabolic subgroups on them, both for finite BN-pairs and finite dimensional Hecke algebras. Several simplifications, using mainly the surjections of [CaRi], allow a more compact treatment than the one in [O].
The Common Limit of a Quadruple Sequence and the Hypergeometric Function Fd of Three Variables
Authors: Kato Takayuki , Matsumoto Keiji 
Published: July 2016

AbstractWe study a quadruple sequence and express its common limit by Lauricella’s hypergeometric function FD(¼,¼,¼.¼, 1; z1, z2, z3)of three variables. We give a functional equation of FD, which is the key to get our expression of the common limit.
Motivic zeta functions for curve singularities
Authors: Moyano-Fernández J. J. , Zúňiga-Galindo W. A. 
Published: July 2016

AbstractLetXbe a complete, geometrically irreducible, singular, algebraic curve defined over a field of characteristicpbig enough. Given a local ringOp,x at a rational singular pointPofX, we attached a universal zeta function which is a rational function and admits a functional equation ifOp,x is Gorenstein. This universal zeta function specializes to other known zeta functions and Poincaré series attached to singular points of algebraic curves. In particular, for the local ring attached to a complex analytic function in two variables, our universal zeta function specializes to the generalized Poincaré series introduced by Campillo, Delgado, and Gusein-Zade.
Localized Morrey-Campanato spaces on metric measure spaces and applications to Schrüdinger operators
Authors: Yang Dachun , Yang Dongyong , Zhou Yuan 
Published: July 2016

AbstractLetbe a space of homogeneous type in the sense of Coifman and Weiss, and letbe a collection of balls in. The authors introduce the localized atomic Hardy spacethe localized Morrey-Campanato spaceand the localized Morrey-Campanato-BLO (bounded lower oscillation) spacewithα∊ ℝ andp∊ (0, ∞) , and they establish their basic properties, includingand several equivalent characterizations forIn particular, the authors prove that when α &gt; 0 andp∊ [1, ∞), thenand whenp∈(0,1], then the dual space ofisLetρbe an admissible function modeled on the known auxiliary function determined by the Schrödinger operator. Denote the spacesand, respectively, byandwhenis determined byρ. The authors then obtain the boundedness fromof the radial and the Poisson semigroup maximal functions and the Littlewood-Paleyg-function, which are defined via kernels modeled on the semigroup generated by the Schrödinger operator. These results apply in a wide range of settings, for instance, the Schrödinger operator or the degenerate Schrödinger operator on ℝd, or the sub-Laplace Schrödinger operator on Heisenberg groups or connected and simply connected nilpotent Lie groups.
On the boundary of the moduli spaces of log Hodge structures: Triviality of the torsor
Authors: Hayama Tatsuki 
Published: July 2016

AbstractThis paper examines the moduli spaces of log Hodge structures introduced by Kato and Usui. This moduli space is a partial compactification of a discrete quotient of a period domain. This paper treats the following two cases: (A) where the period domain is Hermitian symmetric, and (B) where the Hodge structures are of the mirror quintic type. Especially it addresses a property of the torsor.
Coarse dynamics and fixed-point theorem
Authors: Fukaya Tomohiro 
Published: July 2016

AbstractWe study semigroup actions on a coarse space and the induced actions on the Higson corona from a dynamical point of view. Our main theorem states that if an action of an abelian semigroup on a proper coarse space satisfies certain conditions, the induced action has a fixed point in the Higson corona. As a corollary, we deduce a coarse version of Brouwer’s fixed-point theorem.
q-Titchmarsh-Weyl theory: series expansion
Authors: Annaby M. H. , Mansour Z. S. , Soliman I. A. 
Published: July 2016

AbstractWe establish aq-Titchmarsh-Weyl theory for singularq-Sturm-Liouville problems. We defineq-limit-point andq-limit circle singularities, and we give sufficient conditions which guarantee that the singular point is in a limit-point case. The resolvent is constructed in terms of Green’s function of the problem. We derive the eigenfunction expansion in its series form. A detailed worked example involving Jacksonq-Bessel functions is given. This example leads to the completeness of a wide class ofq-cylindrical functions.
Vanishing theorems on complete manifolds with weighted Poincaré inequality and applications
Authors: Fu Hai-Ping , Yang Deng-Yun 
Published: July 2016

AbstractTwo vanishing theorems for harmonic map andL2harmonic 1-form on complete noncompact manifolds are proved under certain geometric assumptions, which generalize results of [13], [15], [18], [19], and [20]. As applications, we improve some main results in [2], [4], [6], [9], [12], [20], [22], [24], and [25].
Finite symplectic actions on the K3 lattice
Authors: Hashimoto Kenji 
Published: July 2016

AbstractIn this paper, we study finite symplectic actions onK3 surfacesX, that is, actions of finite groupsGonXwhich act onH2,0(X) trivially. We show that the action on theK3 latticeH2(X, ℤ) induced by a symplectic action ofGonXdepends only onGup to isomorphism, except for five groups.