bluuebunny/crossref_metadata_2025_split huggingface dataset:
Lifting of supersingular points on X0 (pr) and lower bound of ramification index
Authors: Momose Fumiyuki , Shimura Mahoro 
Published: July 2016

Let K be a finite extension of (= the maximal unramified extension of Qp) of degree eK, its integer ring, p a rational prime and r a positive integer. If there exists a one parameter formal group defined over whose reduction is of height 2 with a cyclic subgroup V of order pr defined over , then .We apply this result to a criterion for non-existence of Q-rational point of . (This criterion is Momose’s theorem in [14] except for the cases p = 5 and p = 13, but our new proof does not require defining equations of modular curves except for the case p = 2.)
Lower bounds for fundamental units of real quadratic fields
Authors: Tomita Koshi , Yamamuro Kouji 
Published: July 2016

AbstractLet d be a square-free positive integer and l(d) be the period length of the simple continued fraction expansion of ωd, where ωd is integral basis of ℤ[]. Let εd = (td + ud)/2 (> 1) be the fundamental unit of the real quadratic field ℚ(). In this paper new lower bounds for εd, td, and ud are described in terms of l(d). The lower bounds of εd are sharper than the known bounds and those of td and ud have been yet unknown. In order to show the strength of the method of the proof, some interesting examples of d are given for which εd and Yokoi’s d-invariants are determined explicitly in relation to continued fractions of the form .
The asymptotics of string matching probabilities for Gaussian random sequences
Authors: Ihara Shunsuke , Kubo Masashi 
Published: July 2016

AbstractWyner and Ziv (1989) studied the asymptotic properties of recurrence times of stationary ergodic processes, and applied the results to obtain optimal data compression schemes in information transmission. Since then many data compression algorithms based upon string matching of a sequence from an information source with a database have been proposed and studied. In this paper we consider Gaussian stationary processes representing an information source and a database, and study problems of string matching with distortion. We prove theorems concerning the asymptotic behavior of the probability of string matching with distortion and the waiting time for the string matching.
On the moduli of stable sheaves on a reducible projective scheme and examples on a reducible quadric surface
Authors: Inaba Michi-Aki 
Published: July 2016

AbstractWe study the moduli space of stable sheaves on a reducible projective scheme by use of a suitable stratification of the moduli space. Each stratum is the moduli space of “triples”, which is the main object investigated in this paper. As an application, we can see that the relative moduli space of rank two stable sheaves on quadric surfaces gives a nontrivial example of the relative moduli space which is not flat over the base space.
Boundary behavior of the Bergman metric
Authors: Chen Bo-Yong 
Published: July 2016

AbstractLet Ω be a bounded pseudoconvex domain in Cn. We give sufficient conditions for the Bergman metric to go to infinity uniformly at some boundary point, which is stated by the existence of a Hölder continuous plurisubharmonic peak function at this point or the verification of property (P) (in the sense of Coman) which is characterized by the pluricomplex Green function.
Singular invariant hyperfunctions on the square matrix space and the alternating matrix space
Authors: Muro Masakazu 
Published: July 2016

AbstractFundamental calculations on singular invariant hyperfunctions on the n ×n square matrix space and on the 2n × 2n alternating matrix space are considered in this paper. By expanding the complex powers of the determinant function or the Pfaffian function into the Laurent series with respect to the complex parameter, we can construct singular invariant hyperfunctions as their Laurent expansion coefficients. The author presents here the exact orders of the poles of the complex powers and determines the exact supports of the Laurent expansion coefficients. By applying these results, we prove that every quasi-relatively invariant hyperfunction can be expressed as a linear combination of the Laurent expansion coefficients of the complex powers and that every singular quasi-relatively invariant hyperfunction is in fact relatively invariant on the generic points of its support. In the last section, we give the formula of the Fourier transforms of singular invariant tempered distributions.
On a generalized divisor problem II
Authors: Lau Yuk-Kam 
Published: July 2016

AbstractWe investigate the Ω±-result of Δa(x) and its number of sign-changes in an interval [1, T], denoted by Xa(T), for -1 ≤ a < -1/2. We can prove that T ≪aXa(T) which is the best possible in order of magnitude.
Local zeta functions and Newton polyhedra
Authors: Zuniga-Galindo W. A. 
Published: July 2016

AbstractTo a polynomial f over a non-archimedean local field K and a character χ of the group of units of the valuation ring of K one associates Igusa’s local zeta function Z (s, f, χ). In this paper, we study the local zeta function Z(s, f, χ) associated to a non-degenerate polynomial f, by using an approach based on the p-adic stationary phase formula and Néron p-desingularization. We give a small set of candidates for the poles of Z (s, f, χ) in terms of the Newton polyhedron Γ(f) of f. We also show that for almost all χ, the local zeta function Z(s, f, χ) is a polynomial in q−s whose degree is bounded by a constant independent of χ. Our second result is a description of the largest pole of Z(s, f, χtriv) in terms of Γ(f) when the distance between Γ(f) and the origin is at most one.
Topological types of Pfaffian manifolds
Authors: Fujita Masato , Shiota Masahiro 
Published: July 2016

AbstractLet Ω = (ω1,…,ωn-k) be differential 1-forms with polynomial coefficients in Rn. A Pfaffian manifold of Ω is by definition a maximal integral k-manifold of Ω. It is shown that the number of homeomorphism classes of all Pfaffian manifolds of Rolle Type of Ω is finite and, moreover, bounded by a computable function in variables n, k and the degree of ω1,…, ωn-k. Finiteness is proved also in any o-minimal structure.We give also an example of a semi-algebraic C1 differential form on a semi-algebraic C2 3-manifold whose Pfaffian manifolds have homeomorphism classes of the cardinality of continuum. Hence the cardinality of all manifolds is the continuum (not countable).
On the existence and boundedness of square function operators on Campanato spaces
Authors: Sun Yongzhong 
Published: July 2016

AbstractLet g(f) be a Littlewood-Paley square function of f, which belongs to Campanato spaces . We prove that if g(f)(x0) exists (i.e. g(f)(x0) < ∞) for a single point x0 ∈ Rn, then g(f)(x) exists almost everywhere in Rn and . Thus we give an improvement of some earlier results such as in [8], where it is always needed to assume g(f)(x) exists in a set of positive measure in order to get the a.e. existence and boundedness of g(f)(x).
A construction of quintic rings
Authors: Kable Anthony C. , Yukie Akihiko 
Published: July 2016

AbstractWe construct a discriminant-preserving map from the set of orbits in the space of quadruples of quinary alternating forms over the integers to the set of isomorphism classes of quintic rings. This map may be regarded as an analogue of the famous map from the set of equivalence classes of integral binary cubic forms to the set of isomorphism classes of cubic rings and may be expected to have similar applications. We show that the ring of integers of every quintic number field lies in the image of the map. These results have been used to establish an upper bound on the number of quintic number fields with bounded discriminant.
On planar Cremona maps of prime order
Authors: de Fernex Tommaso 
Published: July 2016

AbstractThis paper contains a new proof of the classification of prime order elements of Bir(ℙ2) up to conjugation. The first results on this topic can be traced back to classic works by Bertini and Kantor, among others. The innovation introduced by this paper consists of explicit geometric constructions of these Cremona transformations and the parameterization of their conjugacy classes. The methods employed here are inspired to [4], and rely on the reduction of the problem to classifying prime order automorphisms of rational surfaces. This classification is completed by combining equivariant Mori theory to the analysis of the action on anticanonical rings, which leads to characterize the cases that occur by explicit equations (see [28] for a different approach). Analogous constructions in higher dimensions are also discussed.
Geometric determination of the Poles of Highest and second Highest order of Hodge And motivic Zeta functions
Authors: Rodrigues B. 
Published: July 2016

AbstractTo any f ∈ ℂ[x1, … ,xn] \ ℂ with f(0) = 0 one can associate the motivic zeta function. Another interesting singularity invariant of f-1{0} is the zeta function on the level of Hodge polynomials, which is actually just a specialization of the motivic one. In this paper we generalize for the Hodge zeta function the result of Veys which provided for n = 2 a complete geometric determination of the poles. More precisely we give in arbitrary dimension a complete geometric determination of the poles of order n − 1 and n. We also show how to obtain the same results for the motivic zeta function.
Normal Families of meromorphic mappings of several complex variables into PN(C)
Authors: Mai Pham Ngoc , Thai Do Duc , Trang Pham Nguyen Thu 
Published: July 2016

AbstractThe first aim in this article is to give some sufficient conditions for a family of meromorphic mappings of a domain D in Cn into PN(C) omitting hypersurfaces to be meromorphically normal. Our result is a generalization of the results of Fujimoto and Tu. The second aim is to investigate extending holomorphic mappings into the compact complex space from the viewpoint of the theory of meromorphically normal families of meromorphic mappings.
Combinatorial descriptions of toric extremal Contractions
Authors: Sato Hiroshi 
Published: July 2016

AbstractIn this paper, we give explicit combinatorial descriptions for toric extremal contractions under the relative setting, where varieties are not complete. It is well-known that the complete case is settled by using Reid’s wall theory which can not be applied to the non-complete case. Therefore, we can achieve them by using the notion of extremal primitive relations. As applications, we can generalize some of Mustaţă’s results related to Fujita’s conjecture on toric varieties for the relative case.
Base change of Invariant subrings
Authors: Hashimoto Mitsuyasu 
Published: July 2016

AbstractLet R be a Dedekind domain, G an affine flat R-group scheme, and B a flat R-algebra on which G acts. Let A → BG be an R-algebra map. Assume that A is Noetherian. We show that if the induced map K ⊗ A → (K ⊗B)K⊗G is an isomorphism for any algebraically closed field K which is an R-algebra, then S ⊗ A → (S ⊗ B)S⊗G is an isomorphism for any R-algebra S.
Annihilator, Completeness and Convergence of Wavelet System
Authors: Ho Kwok-Pun 
Published: July 2016

AbstractWe show that if is a frame and {ψＱ}Ｑ∈Q ∈ ∩ Mα(ℝn) is its dual frame (for the definition of Mα(ℝn), see Definition 2.1), where Q is the collection of dyadic cubes, then for any f ∈ S′(ℝn), there exists a sequence of polynomials, PL,L′,L″, such that(0.1) in the topology of S′(ℝn), where δ(i) = max(2i, 1). We prove this result by explicitly constructing the polynomials PL,L′,L″. Furthermore, using the above result, we assert that the linear span of the one-dimensional wavelet system is dense in a function space if and only if the dual space of this function space has an trivial intersection with the set of polynomials. This is proved by using the annihilator of the one-dimensional wavelet system.
Gluing an Infinite Number of Instantons
Authors: Tsukamoto Masaki 
Published: July 2016

AbstractThis paper is one step toward infinite energy gauge theory and the geometry of infinite dimensional moduli spaces. We generalize a gluing construction in the usual Yang-Mills gauge theory to an “infinite energy” situation. We show that we can glue an infinite number of instantons, and that the resulting ASD connections have infinite energy in general. Moreover they have an infinite dimensional parameter space. Our construction is a generalization of Donaldson’s “alternating method”.
Automorphisms of Coxeter Groups and Lusztig’s Conjectures for Hecke Algebras with Unequal Parameters
Authors: Bonnafé Cédric 
Published: July 2016

AbstractLet (W,S) be a Coxeter system, let G be a finite solvable group of automorphisms of (W, S) and let ϕ be a weight function which is invariant under G. Let ϕG denote the weight function on WG obtained by restriction from ϕ. The aim of this paper is to compare the a-function, the set of Duflo involutions and the Kazhdan-Lusztig cells associated with (W, ϕ) and to (WG,ϕG), provided that Lusztig’s Conjectures hold.
Doubling zeta integrals and local factors for metaplectic groups
Authors: Gan Wee Teck 
Published: July 2016

AbstractWe develop the theory of the doubling zeta integral of Piatetski-Shapiro and Rallis for metaplectic groups Mp2n, and we use it to give precise definitions of the local γ-factors,L-factors, and ε-factors for irreducible representations of Mp2n× GL1, following the footsteps of Lapid and Rallis.
On Cartan Pseudo Groups
Authors: Rodrigues A. M. 
Published: July 2016

Let M be a domain in an Euclidean space and let Γ be a pseudo group of transformations of M. We say that Γ is a Cartan pseudo group [1, 2] if the following conditions are satisfied:1)There exists a domain M′ and a projection ρ: M-→M′, such that the orbits of Γ are the fibers of the projection ρ.
Skew Tensor Products and Groups of Class Two
Authors: Conrad Paul 
Published: July 2016

Let Δ and N be abelian groups and let f be a mapping of Δ × Δ into N that is bilinear, skew symmetric and satisfies f(α, α) = 0 for all α ∈ Δ. Such a mapping f is called a (*)-mapping. By the Schreier extension theory Δ, N and f determine a nilpotent group G(Δ, N, f) of class two that consists of the set Δ × N with composition(α, a) + (β, b) = (α + β, f(α, β) + a + b).
Analytic Functions on Some Riemann Surfaces, II
Authors: Matsumoto Kikuji 
Published: July 2016

In their paper [12], Toda and the author have concerned themselves in the followingTheorem of Kuramochi. Let R be a hyperbolic Riemann surface of the class OHB(OHD, resp.). Then, for any compact subset K of R such that R−K is connected, R−K as an open Riemann surface belongs to the class OAB(OAD, resp.) (Kuramochi [4]).They have raised there the question as to whether there exists a hyperbolic Riemann surface, which has no Martin or Royden boundary point with positive harmonic measure and has yet the same property as stated in Theorem of Kuramochi, and given a positive answer to the Martin part of this question.
On Groups with Nilpotent Commutator Subgroups
Authors: Inagaki Nobuo 
Published: July 2016

It is well known that a supersoluble group has the nilpotent commutator subgroup. But the converse does not hold in general. Therefore, it will be interesting to study the class of groups with nilpotent commutator subgroups. Some results were obtained by B. Huppert [1] and R. Baer [3] on this subject.It is easily seen that the p-length of a group with the nilpotent commutator subgroup is 1 for every p dividing the order of this group. Theorem 1 of this paper may be considered as its local refinement, and is proved in a similar way as B. Huppert [2]. Theorem 2 gives a necessary and sufficient condition for a group to have the nilpotent commutator subgroup in terms of its Hall subgroups. In the last theorem 3 we shall study an interesting class of groups which have maximal subgroups of a certain nature. It turns out that these groups have nilpotent commutator subgroups and admit Sylowtowers.
Unique Continuation for Parabolic Equations of Higher Order
Authors: Chen Lu-San , Kuroda Tadashi 
Published: July 2016

Let x = (xl,…xn) be a point in the n-dimensional Euclidean space and let be the unit sphere In the (n + 1)-dimensional Euclidean space with coordinate (x, t), we putandwhere denotes the boundary of . We also use the following notation:
Some Theorems on Open Riemann Surfaces
Authors: Tsuji Masatsugu 
Published: July 2016

Let F be an open Riemann surface spread over the z-plane. We say that F is of positive or null boundary, according as there exists a Green’s function on F or not, Let u(z) be a harmonic function on Fand be its Dirichlet integral As R. Nevanlinna proved, if F is of null boundary, there exists no one-valued non-constant harmonic function on F5 whose Dirichlet integral is finite, This Nevanlinna’s theorem was proved very simply by Kuroda.
Über Einige Allgemeine Konvexitätssätze in der Theorie der Partiellen Differentialgleichungen
Authors: Dinghas Alexander 
Published: July 2016

Es bezeichne Rn(n≥2) den durch den Alexandroff-Punkt kompaktifizierten n-dimensionalen euklidischen Raum, [xl,......,xn], ein Koordinatensystem von Rn, x = (x1,......,xn) einen (endlichen) Punkt von Rn unddessen Norm. Wir betrachten ein im Endlichen liegendes Gebiet G von Rn, definieren auf G einen linearen Operator
Certain Method for Generating a Series of Logics
Authors: Miura Satoshi , Nagata Shûrô 
Published: July 2016

At first, we define three relations ⊇, =, and ⊃ in connection with a pair of logics L and L* as follows:
L ⊇ L*, if and only if every proposition provable in L* is also provable in L;L = L*, if and only if L ⊇ L* and L* ⊇ L;L ⊃ L*, if and only if L, ⊇ L* but not L* ⊇ L.
Corrections to “Algebraic Deformations of Polarized Varieties”, Nagoya Math. J. 31 (1968), pp. 185–245
Authors: Matsusaka T. 
Published: July 2016

p. 187, line 20: Delete “—s” from the formula.p. 228, line 4: Delete “—1” from the formula.p. 228, lines 18 and 21: Delete “—s” from the formulas.
Unitary Equivalence in Pairwise Spectral Analysis
Authors: Barankin Edward W. 
Published: July 2016

It is a privilege to share in the honoring of Professor Katuzi Ono on this occasion, It would be enough to be simply putting in evidence my high regard for a good and dear friend. But there is so very much more than that here. It is an opportunity for me to declare my esteem for the kind of mathematician who looks at his field from the outside as well as the inside; who sees the richness of all experience and seeks its instruction to know better and better the meaning of mathematics ; who by the example of his own life urges young, coming scientists to the more productive path of an uncompartmentalized personality. Katuzi Ono is all of these.In the pairwise spectral analysis of two projections F and G (see [1, §4] of the References) there are determined two resolutions of the identity, EF-and EG, which are spectral measures on the Borel interval [0, 1], and which are, in fact, the spectral measures of the Hermitian operators SF and SG of (1. 6) below.
Remark on the Tricomi Equation
Authors: Matsuzawa Tadato 
Published: July 2016

As an application of the Garleman-type estimation Hörmander [4], p. 221, has proved the following:A solution (distribution) of the Tricomi equationin an open set Ω in belongs to C∞(Ω) if it is in C∞(Ω-) where .
On some Asymptotic Properties of Poisson Process
Authors: Hida Takeyuki 
Published: July 2016

The Poisson process , as is well-known, is a temporally and spatially homogeneous Markoff process satisfying(1) (2) where k is a non-negative integer and λ is a positive constant. In this note we consider the random variable Lm(ω) which denotes the length of t-interval such that X(t, w) = m (m = 0, 1, 2,…) and some of other properties concerning them.
Über die Beziehung der Klassenzahlen der Unterkörper des bizyklischen bizuadratischen Zahlkörpers
Authors: Kubota Tomio 
Published: July 2016

Mit Hilfe der Dedekindschen ζ-Funktion erhält man bekanntlich Klassenzahlrelationen gewisser algebraischen Zahlkörper. Ais ein Spezialfall gilt derSatz l.1) Es sei K ein bizyklischer biquadratischer Zahlkörper und seien k0, k1und k2die drei quadratischen Teilkörper von K. Ferner seien h, h0, h1und h2die Klassenzahlen von K, k0, k1bzw. k3. Dann besteht die RelationHier ist Q der Index der Grupps der Einheiten , welche von der Einheiten von ki (i = 0, 1, 2) erzeugt wird, in der vollen Gruppe der Einheiten E von K: d.h. .
Regularity of solutions for quasi-linear parabolic equations
Authors: Ikeda Yoshiaki 
Published: July 2016

Let Ω be a bounded domain in n-dimensional Euclidian space En (n ≧ 2), and consider the space-time cylinder Q = Ω × (0, T] for some fixed T > 0. In this paper we deal with the Cauchy and Dirichlet problem for a second order quasi-linear equation(1.1) ut — div A(x, t, u, ux) + B(x, t, u, ux) = 0 for (x, t) ∈ Q,(1.2) u(x, 0) = (ϕ)(x) in Ω and u(x, t) = tψ(x, t) for (x, t) ∈ Γ = ∂Ω × (0, T] ,where ∂Ω is a boundary of Ω which satisfies the following condition (A) : Condition (A). There exist constants ρ0 and »0 both in (0,1) such that, for any sphere K(ρ) with center on ∂Ω and radius ρ ≦ ρ0, the inequality meas [K(ρ) ∩ Ω] ≦ (1 — λ0) × meas E(ρ) holds, where meas E means the measure of a measurable set E.
Another approach to a non-elliptic boundary problem
Authors: Kato Yoshio 
Published: July 2016

Let Ω be a bounded domain in ndimensional Euclidian space Rn(n ≧ 2)with C∞boundary Γ of dimension n— 1 and let there be given two real-valued C∞–functions α, β on Γ such that α≧ 0, β ≧ 0and α + β = lthroughout Γ.Then we consider the non-elliptic boundary value problem with λ ≧ 0 (which is always assumed, and in particular when λ =0, we further assume β ≢ 0,throughout this paper) :(1)
Modular representations of abelian groups with regular rings of invariants
Authors: Nakajima Haruhisa 
Published: July 2016

Let k be a field of characteristic p and G a finite subgroup of GL(V) where V is a finite dimensional vector space over k. Then G acts naturally on the symmetric algebra k[V] of V. We denote by k[V]G the subring of k[V] consisting of all invariant polynomials under this action of G. The following theorem is well known.Theorem 1.1 (Chevalley-Serre, cf. [1, 2, 3]). Assume that p = 0 or (|G|, p) = 1. Then k[V]G is a polynomial ring if and only if G is generated by pseudo-reflections in GL(V).
Existence and bifurcation of solutions for Fredholm operators with nonlinear perturbations
Authors: Niikura Yasuo 
Published: July 2016

In this paper we shall discuss nonlinear eigenvalue problems for the equations of the formwhere L is a linear operator on a real Banach space X with non-zero kernel, K(-) is a linear or nonlinear operator on X and M(·, ·) is an operator from X X R into X. Equations of the form (1) arise in various fields of physics and engineering.
On the base field change of P-rings and P-2 rings
Authors: Tanimoto Hiroshi 
Published: July 2016

One finds the following example in [3, (34, B)]:Let k be a field of characteristic p and be n-variables over k. Then if p > 0 and [k : kp] = ∞, is an n-dimensional regular local ring but not a Nagata ring. In particular it is not an excellent ring.
Symmetric homogeneous convex domains
Authors: Tsuji Tadashi 
Published: July 2016

Let D be a convex domain in the n-dimensional real number space Rn, not containing any affine line and A(D) the group of all affine transformations of Rn leaving D invariant. If the group A(D) acts transitively on D, then the domain D is said to be homogeneous. From a homogeneous convex domain D in Rn, a homogeneous convex cone V = V(D) in Rn+1 = Rn × R is constructed as follows (cf. Vinberg [11]):which is called the cone fitted on the convex domain D.
A Mordell-Weil group of rank 8, and a subgroup of finite index
Authors: Schwartz Charles F. 
Published: July 2016

It is well known [c.f. Kas] that every elliptic surface, with geometric genus 0, is given by a Weierstrass equation of the form(relative to a suitable parameter, u, for the base) where the a’s and b’s are constants. For sufficiently general choices of a’s and b’s, the Mordell-Weil group (i.e., the group of solutions (x, y), with x and y rational functions of u) has rank 8.