bluuebunny/crossref_metadata_2025_split huggingface dataset:
Topologically stable homeomorphisms of the circle
Authors: Yano Koichi 
Published: July 2016

In this paper, we study topologically stable homeomorphisms of the circle. Our results are the following:Theorem 1. A homeomorphism of the circle is topologically stable if and only if it is topologically conjugate to some Morse-Smale diffeomorphism.Theorem 2. There exists a homeomorphism of the circle which has the pseudo-orbit-tracing-property but is not topologically stable.
On Buchsbaum rings obtained by gluing
Authors: Goto Shiro 
Published: July 2016

Let A be a Noetherian local ring with maximal ideal m. In 1973 J. Barshay [1] showed that, if A is a Cohen-Macaulay ring, then so is the Rees algebra R(q) = ⊕n≧0qn for every parameter ideal q of A (cf. p. 93, Corollary). Recently the author and Y. Shimoda [5] have proved that the Rees algebra R(q) is a Cohen-Macaulay ring for every parameter ideal q of A if and only if(#) A is a Buchsbaum ring and for i ≠ 1, dim A.
Parallel submanifolds of complex space forms II
Authors: Naitoh Hiroo 
Published: July 2016

This is a continuation of Part I, which appeared in this journal.In the previous paper I we have defined the following notions: orthogonal Jordan triple system (OJTS), orthogonal symmetric graded Lie algebra (OSGLA), orthogonal Jordan algebra (OJA), Hermitian symmetric graded Lie algebra (HSGLA). And we have shown that equivalent classes of OJTS naturally correspond to equivalent classes of OSGLA and through this correspondence we have naturally constructed HSGLA’s from the OJTS’s associated with OJA’s with unity.
On stochastic relaxed control for partially observed diffusions
Authors: Fleming W. H. , Nisio M. 
Published: July 2016

In this paper we are concerned with stochastic relaxed control problems of the following kind. Let X(t), t ≥ 0, denote the state of a process being controlled, Y(t), t ≥ 0, the observation process and p(t, ·) a relaxed control, that is a process with values probability measures on the control region Г. The state and observation processes are governed by stochastic differential equationsandwhere B and W are independent Brownian motions with values in Rn and Rm respectively, (put m = 1 for simplicity).
On the dimension of the vector space C[θm]4
Authors: Manni Riccardo Salvati 
Published: July 2016

Let τ denote a point of the Siegel upper-half space be a (column) vector in Cg and m a vector with m′ resp. m″ in Zg as its first resp. second entry vectors, then the series
in which , represents an holomorphic function on the product and it is called the theta function of characteristic m.
Picard principle for finite densities
Authors: Nakai Mitsuru 
Published: July 2016

A nonnegative locally Holder continuous function P(z) on 0<|z |≤1 will be referred to as a density on Ω 0 < |z | < 1 with singularity at δ : z = 0, removable or genuine. A density P on Ω is said to be finite if it is integrable over Ω :(1) ∫ Ω P(z)dxdy < ∞.
The norm of a Ree group
Authors: Medts Tom De , Weiss Richard M. 
Published: July 2016

AbstractWe give an explicit construction of the Ree groups of typeG2as groups acting on mixed Moufang hexagons together with detailed proofs of the basic properties of these groups contained in the two fundamental papers of Tits on this subject (see [7] and [8]). We also give a short proof that the norm of a Ree group is anisotropic.
Birational classification of curves on rational surfaces
Authors: Calabri Alberto , Ciliberto Ciro 
Published: July 2016

AbstractIn this paper we consider the birational classification of pairs (S, ℒ), withSa rational surface andℒa linear system onS. We give a classification theorem for such pairs, and we determine, for each irreducible plane curveB, itsCremona minimalmodels, that is, those plane curves which are equivalent toBvia a Cremona transformation and have minimal degree under this condition.
The first line of the Bockstein spectral sequence on a monochromatic spectrum at an odd prime
Authors: Kato Ryo , Shimomura Katsumi 
Published: July 2016

AbstractThe chromatic spectral sequence was introduced by Miller, Ravenel, and Wilson to compute the E2-term of the Adams-Novikov spectral sequence for computing the stable homotopy groups of spheres. The E1-term of the spectral sequence is an Ext group of BP*BP-comodules. There is a sequence of Ext groups for nonnegative integers n with and there are Bockstein spectral sequences computing a module (n – s) from So far, a small number of the E1-terms are determined. Here, we determine the for p > 2 and n > 3 by computing the Bockstein spectral sequence with E1-term for s = 1, 2. As an application, we study the nontriviality of the action of α1 and β1 in the homotopy groups of the second Smith-Toda spectrum V(2).
New estimates of Hilbert–Kunz multiplicities for local rings of fixed dimension
Authors: Aberbach Ian M. , Enescu Florian 
Published: July 2016

AbstractWe present results on the Watanabe–Yoshida conjecture for the Hilbert–Kunz multiplicity of a local ring of positive characteristic. By improving on a “volume estimate” giving a lower bound for Hilbert–Kunz multiplicity, we obtain the conjecture when the ring has either Hilbert–Samuel multiplicity less than or equal to 5 or dimension less than or equal to 6. For nonregular rings with fixed dimension, a new lower bound for the Hilbert–Kunz multiplicity is obtained.
Triangulation of the map of a G-manifold to its orbit space
Authors: Murayama Mitsutaka , Shiota Masahiro 
Published: July 2016

AbstractLetGbe a Lie group, and letMbe a smooth properG-manifold. LetM/Gdenote the orbit space, and letπ:M → M/Gbe the natural map. It is known thatM/Gis homeomorphic to a polyhedron. In the present paper we show that there exist a piecewise linear (PL) manifoldP,a polyhedronL, and homeomorphismsτ:P → Mandσ:M/G → Lsuch thatσ o π o τis PL. This is an application of the theory of subanalytic sets and subanalytic maps of Shiota. IfMand theG-action are, moreover, subanalytic, then we can chooseτandσsubanalytic andPandLunique up to PL homeomorphisms.
Gluing Silting Objects
Authors: Liu Qunhua , Vitória Jorge , Yang Dong 
Published: July 2016

AbstractRecent results by Keller and Nicolás and by Koenig and Yang have shown bijective correspondences between suitable classes of t-structures and cot-structures with certain objects of the derived category: silting objects. On the other hand, the techniques of gluing (co-)t-structures along a recollement play an important role in the understanding of derived module categories. Using the above correspondence with silting objects, we present explicit constructions of gluing of silting objects, and, furthermore, we answer the question of when the glued silting is tilting.
Centrally Symmetric Configurations of Integer Matrices
Authors: Ohsugi Hidefumi , Hibi Takayuki 
Published: July 2016

AbstractThe concept of centrally symmetric configurations of integer matrices is introduced. We study the problem when the toric ring of a centrally symmetric configuration is normal and when it is Gorenstein. In addition, Gröbner bases of toric ideals of centrally symmetric configurations are discussed. Special attention is given to centrally symmetric configurations of unimodular matrices and to those of incidence matrices of finite graphs.
Singular Del Pezzo surfaces and analytic compactifications of 3-dimensional complex affine space C3
Authors: Furushima Mikio 
Published: July 2016

Let X be an n-dimensional connected compact complex manifold and A be an analytic subset of X. We say that the pair (X, A) is a complex analytic compactification of Cn if X − A is biholomorphic to Cn. If X admits a Kähler metric, we shall say that (X, A) is a (non-singular) Kähler compactification of Cn. For n = 1, it is easy to see that (X, A) ≃ (P1, ∞). For n = 2, Remmert-Van de Ven [17] proved that (X, A) ≃ (P2, P1) if A is irreducible, where A = P1 is linearly embedded in P2. Morrow [15] gave more detailed classifications of complex analytic compactifications of C2 For n = 3, Brenton-Morrow showed the followingTHEOREM ([5]). Let (X, A) be a non-singular Kähler complex analytic compactification of C3such that the analytic subset A has only isolated singular points. Then X is projective algebraic and A is birationally equivalent to a ruled surface over an algebraic curve of genus g = b3(X)/2.Further, Brenton [3] classified the possible types of singular points of A in the case that the canonical line bundle KA of A is not trivial.
General Néron desingularization and approximation
Authors: Popescu Dorin 
Published: July 2016

LetAbe a noetherian ring (all the rings are supposed here to be commutative with identity),a⊂Aa proper ideal andÂthe completion ofAin theα-adic topology. We consider the following conditions(WAP) Every finite system of polynomial equations overAhas a solution inAiff it has one inÂ.
On Titchmarsh-Kodaira’s Formula concerning Weyl-Stone’s Eigenfunction Expansion
Authors: Yosida Kôsaku 
Published: July 2016

Let q (x) be real and continuous in the infinite open interval (- ∞, ∞) and let y1(x, λ), y2(x, λ) be the solutions of(1.1) with the initial conditions(1.2) .
On a Problem of Chevalley
Authors: Kuniyoshi Hideo 
Published: July 2016

In the present note we wish to deal with the same problem as the preceding paper [1] for the case of modular fields.Let k be a ñeiá of characteristic and K = k(x1 …, xp) a purely-transcendental extension of k, Let S be the automorphism of K which is induced by the cyclic permutation (x1., .., xp) and L the fixed subfield of S. Then L is a purely transcendental extension field over k.
Note on the Group of Affine Transformations of an Affinely Connected Manifold
Authors: Hano Jun-Ichi , Morimoto Akihiko 
Published: July 2016

The purpose of the present note is to reform Mr. K. Nomizu’s result on the group of all affine transformations of an affinely connected manifold. We shall prove the following.
THEOREM. The group of all affine transformations of an affinely connected manifold is a Lie group.
Problemes d’Universalite s’Introduisant dans l’Algébrisation de la Logique Mathématique II
Authors: Ponasse Daniel 
Published: July 2016

Nous définirons la structure d’ensemble individualisé au moyen des données suivantes:—un ensemble non vide A, éléments notés u, v, w,…—un ensemble infini I, éléments notés a, b, c,… i, j, k,… et appelés individus.—une application s de I2 dans l’ensemble des applications de A dans lui-même; une fonction telle que s(a, b) sera dite “substitution de a à b”, et lorsque aucune confusion ne sera à craindre, on la notera simplement (a/b), sa valeur pour u ∈ A sera alors notée (a/b)u. Si l’on est en présence de plusieurs individualisations différentes, on pourra préciser en disant que A est s-individualisé sur I.
Some notes on the moduli of stable sheaves on elliptic surfaces
Authors: Yoshioka Kōta 
Published: July 2016

AbstractIn this paper, we shall consider the birational structure of moduli of stable sheaves on elliptic surfaces, which is a generalization of Friedman’s results to higher rank cases. As applications, we show that some moduli spaces of stable sheaves on ℙ2 are rational. We also compute the Picard groups of those on Abelian surfaces.
Adapted complex structures and geometric quantization
Authors: Szőke Róbert 
Published: July 2016

AbstractA compact Riemannian symmetric space admits a canonical complexification. This so called adapted complex manifold structureJAis defined on the tangent bundle. For compact rank-one symmetric spaces another complex structureJSis defined on the punctured tangent bundle. This latter is used to quantize the geodesic flow for such manifolds. We show that the limit of the push forward ofJAunder an appropriate family of diffeomorphisms exists and agrees withJS.
A hybrid mean value of the inversion of L-functions and general quadratic Gauss sums
Authors: Zhang Wenpeng , Deng Yuping 
Published: July 2016

AbstractThe main purpose of this paper is, using the estimates for character sums and the analytic method, to study the 2k-th power mean of the inversion of Dirichlet L-functions with the weight of general quadratic Gauss sums, and give two interesting asymptotic formulas.
On classification of ℚ-fano 3-folds of Gorenstein index 2. II
Authors: Takagi Hiromichi 
Published: July 2016

AbstractIn the previous paper, we obtained a list of numerical possibilities of ℚ-Fano 3-folds X with Pic X = ℤ(−2KX) and h0(−KX) ≥ 4 containing index 2 points P such that (X, P) ≃ ({xy + z2 + ua = 0}/ℤ2(1, 1, 1, 0), o) for some a ∈ ℕ. Moreover we showed that such an X is birational to a simpler Mori fiber space. In this paper, we prove their existence except for a few cases by constructing a Mori fiber space with desired properties and reconstructing X from it.
On the dimension and multiplicity of local cohomology modules
Authors: Brodmann Markus P. , Sharp Rodney Y. 
Published: July 2016

AbstractThis paper is concerned with a finitely generated module M over a (commutative Noetherian) local ring R. In the case when R is a homomorphic image of a Gorenstein local ring, one can use the well-known associativity formula for multiplicities, together with local duality and Matlis duality, to produce analogous associativity formulae for the local cohomology modules of M with respect to the maximal ideal. The main purpose of this paper is to show that these formulae also hold in the case when R is universally catenary and such that all its formal fibres are Cohen–Macaulay.These formulae involve certain subsets of the spectrum of R called the pseudosupports of M; these pseudo-supports are closed in the Zariski topology when R is universally catenary and has the property that all its formal fibres are Cohen–Macaulay. However, examples are provided to show that, in general, these pseudo-supports need not be closed. We are able to conclude that the above-mentioned associativity formulae for local cohomology modules do not hold over all local rings.
On the K-Theory of the Coordinate Axes in the Plane
Authors: Hesselholt Lars 
Published: July 2016

AbstractLet k a regular noetherian p-algebra, let A = k[x, y]/(xy) be the coordinate ring of the coordinate axes in the affine k-plane, and let I = (x,y) be the ideal that defines the intersection point. We evaluate the relative K-groups Kq(A, I) completely in terms of the big de Rham-Witt groups of k. This generalizes a formula for K1(A, I) and K2(A, I) by Dennis and Krusemeyer.
Even-Relative-Dimensional Vanishing Cycles in Bivariant Intersection Theory
Authors: Saito Hiroshi 
Published: July 2016

AbstractFor a smooth variety proper over a curve having a fibre with isolated ordinary quadratic singularities, it is well-known that we have the vanishing cycles associated to the singularities in the étale cohomology of the geometric generic fibre. The base-change by a double cover of the base curve ramified at the image of the singular fibre has singularities corresponding to the singularities in the fibre. In this note, we show that in the even relative-dimensional case, there exist elements of the bivariant Chow group of the base-change with supports in the singularities and hence their images in the bivariant Chow group with supports in the special fibre and that the usual cohomological vanishing cycles are obtained as their images by a natural map, a kind of “cycle map” so that the elements in the bivariant Chow groups can be regarded as the vanishing cycles. The bivariant Chow group with supports in the special fibre has a ring structure and the natural map is a ring homomorphism to the cohomology ring of the geometric generic fibre. Also discussed is the relation of the bivariant Chow group with supports in the special fibre to the specialization map of Chow groups.
Some Families of Componentwise Linear Monomial Ideals
Authors: Francisco Christopher A. , Tuyl Adam Van 
Published: July 2016

AbstractLet R = k[x1,…,xn] be a polynomial ring over a field k. Let J = {j1,…,jt} be a subset of {1,…, n}, and let mJ ⊂ R denote the ideal (xj1,…,xjt). Given subsets J1,…,Js of {1,…, n} and positive integers a1,…,as, we study ideals of the form These ideals arise naturally, for example, in the study of fat points, tetrahedral curves, and Alexander duality of squarefree monomial ideals. Our main focus is determining when ideals of this form are componentwise linear. Using polymatroidality, we prove that I is always componentwise linear when s ≤ 3 or when Ji ∪ Jj = [n] for all i ≠ j. When s ≥ 4, we give examples to show that I may or may not be componentwise linear. We apply these results to ideals of small sets of general fat points in multiprojective space, and we extend work of Fatabbi, Lorenzini, Valla, and the first author by computing the graded Betti numbers in the s = 2 case. Since componentwise linear ideals satisfy the Multiplicity Conjecture of Herzog, Huneke, and Srinivasan when char(k) = 0, our work also yields new cases in which this conjecture holds.
Integral Springer Theorem for Quaternionic Forms
Authors: Arenas-Carmona Luis 
Published: July 2016

AbstractJ. S. Hsia has conjectured an arithmetical version of Springer Theorem, which states that no two spinor genera in the same genus of integral quadratic forms become identified over an odd degree extension. In this paper we prove by examples that the corresponding result for quaternionic skew-hermitian forms does not hold in full generality. We prove that it does hold for unimodular skew-hermitian lattices under all extensions and for lattices whose discriminant is relatively prime to 2 under Galois extensions.
Moduli Space of Brody Curves, Energy and Mean Dimension
Authors: Tsukamoto Masaki 
Published: July 2016

AbstractA Brody curve is a holomorphic map from the complex plane ℂ to a Hermitian manifold with bounded derivative. In this paper we study the value distribution of Brody curves from the viewpoint of moduli theory. The moduli space of Brody curves becomes infinite dimensional in general, and we study its “mean dimension”. We introduce the notion of “mean energy” and show that this can be used to estimate the mean dimension.
On Generalized Modular forms and their Applications
Authors: Kohnen Winfried , Mason Geoffrey 
Published: July 2016

AbstractWe study the Fourier coefficients of generalized modular forms f(τ) of integral weight k on subgroups Γ of finite index in the modular group. We establish two Theorems asserting that f(τ) is constant if k = 0, f(τ) has empty divisor, and the Fourier coefficients have certain rationality properties. (The result is false if the rationality assumptions are dropped.) These results are applied to the case that f(τ) has a cuspidal divisor, k is arbitrary, and Γ = Γ0(N), where we show that f(τ) is modular, indeed an eta-quotient, under natural rationality assumptions on the Fourier coefficients. We also explain how these results apply to the theory of orbifold vertex operator algebras.
Sharp Exponential Integrability for Traces of Monotone Sobolev Functions
Authors: Pankka Pekka , Poggi-Corradini Pietro , Rajala Kai 
Published: July 2016

AbstractWe answer a question posed in [12] on exponential integrability of functions of restricted n-energy. We use geometric methods to obtain a sharp exponential integrability result for boundary traces of monotone Sobolev functions defined on the unit ball.
Cohen-Macaulay edge ideal whose height is half of the number of vertices
Authors: Crupi Marilena , Rinaldo Giancarlo , Terai Naoki 
Published: July 2016

AbstractWe consider a class of graphsGsuch that the height of the edge idealI(G) is half of the number#V(G) of the vertices. We give Cohen-Macaulay criteria for such graphs.
The binomial edge ideal of a pair of graphs
Authors: Ene Viviana , Herzog Jürgen , Hibi Takayuki , Qureshi Ayesha Asloob 
Published: July 2016

AbstractWe introduce a class of ideals generated by a set of 2-minors of an (m×n)-matrix of indeterminates indexed by a pair of graphs. This class of ideals is a natural common generalization of binomial edge ideals and ideals generated by adjacent minors. We determine the minimal prime ideals of such ideals and give a lower bound for their degree of nilpotency. In some special cases we compute their Gröbner basis and characterize unmixedness and Cohen–Macaulayness.
On the k-Buchsbaum property of powers of Stanley–Reisner ideals
Authors: Minh Nguyên Công , Nakamura Yukio 
Published: July 2016

AbstractLetS=K[x1,x2,…,xn] be a polynomial ring over a fieldK. Let Δ be a simplicial complex whose vertex set is contained in {1, 2,…,n}. For an integerk≥ 0, we investigate thek-Buchsbaum property of residue class ringsS/I(t); andS/Itfor the Stanley-Reisner idealI=IΔ. We characterize thek-Buchsbaumness of such rings in terms of the simplicial complex Δ and the powert. We also give a characterization in the case whereIis the edge ideal of a simple graph.
Twisted orbifold Gromov–Witten invariants
Authors: Tonita Valentin 
Published: July 2016

AbstractLetχbe a smooth proper Deligne–Mumford stack over ℂ. One can define twisted orbifold Gromov–Witten invariants ofχby considering multiplicative invertible characteristic classes of various bundles on the moduli spaces of stable mapsχg,n,d, cupping them with evaluation and cotangent line classes, and then integrating against the virtual fundamental class. These are more general than the twisted invariants introduced by Tseng. We express the generating series of the twisted invariants in terms of the generating series of the untwisted ones. We derive the corollaries which are used in a paper with Givental about the quantumK-theory of a complex compact manifoldX.
Some Groups of Type E7
Authors: Springer T. A. 
Published: July 2016

AbstractAn algebraic group of type E7 over an algebraically closed field has an irreducible representation in a vector space of dimension 56 and is, in fact, the identity component of the automorphism group of a quartic form on the space. This paper describes the construction of the quartic form if the characteristic is ≠ 2, 3, taking into account a field of definition F. Certain F-forms of E7 appear in the automorphism groups of quartic forms over F, as well as forms of E6. Many of the results of the paper are known, but are perhaps not easily accessible in the literature.
Le Groupe GLn Tordu, Sur un Corps Fini
Authors: Waldspurger J.-L. 
Published: July 2016

AbstractLet q be a finite field, G = GLn(q), θ be the outer automorphism of G, suitably normalized. Consider the non-connected group G ⋊ {1, θ} and its connected component = Gθ. We know two ways to produce functions on , with complex values and invariant by conjugation by G: on one hand, let π be an irreducible representation of G we can and do extend to a representation π+ of G ⋊ {1, θ}, then the restriction trace to of the character of π+ is such a function; on the other hand, Lusztig define character-sheaves a, whose characteristic functions ϕ(a) are such functions too. We consider only “quadratic-unipotent” representations. For all such representation π, we define a suitable extension π+, a character-sheave f(π) and we prove an identity trace = γ(π)ϕ(f(π)) with an explicit complex number γ(π).
de Rham cohomology of local cohomology modules: The graded case
Authors: Puthenpurakal Tony J. 
Published: July 2016

AbstractLetKbe a field of characteristic zero, and letR = K[X1,… ,Xn]. Let An(K) = K⟨X1,… ,Xn,∂1,… ,∂n⟩ be thenth Weyl algebra overK. We consider the case whenRandAn(K) are graded by giving degXi= ωiand deg∂i=–ωifori= 1,…,n(hereωiare positive integers). Set. LetIbe a graded ideal inR. By a result due to Lyubeznik the local cohomology modulesare holonomic (An(K))-modules for eachi≥0. In this article we prove that the de Rham cohomology modulesare concentrated in degree —ω; that is,forj ≠ –ω. As an application whenA = R/(f) is an isolated singularity, we relatetoHn-1(∂(f);A), the (n –1)th Koszul cohomology ofAwith respect to∂1(f),…,∂n(f).