Arkiv for Matematik最新文献_第10页

Lefschetz properties of Gorenstein graded algebras associated to the Apéry set of a numerical semigroup 数值半群Apéry集上Gorenstein分次代数的Lefschetz性质

IF 0.7 4区数学

Arkiv for Matematik Pub Date : 2017-12-05 DOI: 10.4310/ARKIV.2019.V57.N1.A5

L. Guerrieri

引用次数: 7

On the multiplicity of tangent cones of monomial curves 关于单曲线切锥的多重性

IF 0.7 4区数学

Arkiv for Matematik Pub Date : 2017-11-29 DOI: 10.4310/ARKIV.2019.v57.n1.a11

Alessio Sammartano

引用次数: 0

A breakdown of injectivity for weighted ray transforms in multidimensions 多维加权射线变换的注入率分解

IF 0.7 4区数学

Arkiv for Matematik Pub Date : 2017-11-15 DOI: 10.4310/arkiv.2019.v57.n2.a5

F. Goncharov, R. Novikov

引用次数: 4

Maps in dimension one with infinite entropy 在一维空间中映射出无限熵

IF 0.7 4区数学

Arkiv for Matematik Pub Date : 2017-10-10 DOI: 10.4310/arkiv.2020.v58.n1.a7

P. Hazard

引用次数: 3

The asymptotic zero-counting measure of iterated derivaties of a class of meromorphic functions 一类亚纯函数迭代导数的渐近计数零测度

IF 0.7 4区数学

Arkiv for Matematik Pub Date : 2017-10-04 DOI: 10.4310/ARKIV.2019.V57.N1.A6

Christian Hagg

引用次数: 0

Equivariant $L^2$-Euler characteristics of $Gtextrm{-}CW$-complexes $Gtextrm{-}CW$-配合物的等变$L^2$-欧拉特性

IF 0.7 4区数学

Arkiv for Matematik Pub Date : 2017-09-01 DOI: 10.4310/ARKIV.2017.V55.N1.A7

J. Jo

{"title":"Equivariant $L^2$-Euler characteristics of $Gtextrm{-}CW$-complexes","authors":"J. Jo","doi":"10.4310/ARKIV.2017.V55.N1.A7","DOIUrl":"https://doi.org/10.4310/ARKIV.2017.V55.N1.A7","url":null,"abstract":"We show that if $X$ is a cocompact $Gtextrm{-}CW$-complex such that each isotropy subgroup $G_sigma$ is $L^{(2)}$-good over an arbitrary commutative ring $k$, then $X$ satisfies some fixed-point formula which is an $L^{(2)}$-analogue of Brown’s formula in 1982. Using this result we present a fixed point formula for a cocompact proper $Gtextrm{-}CW$-complex which relates the equivariant $L^{(2)}$-Euler characteristic of a fixed point $CW$-complex $X^s$ and the Euler characteristic of $X/G$. As corollaries, we prove Atiyah’s theorem in 1976, Akita’s formula in 1999 and a result of Chatterji–Mislin in 2009. We also show that if X is a free $Gtextrm{-}CW$-complex such that $C_{*} (X)$ is chain homotopy equivalent to a chain complex of finitely generated projective $Z pi_1 (X)$-modules of finite length and $X$ satisfies some fixed-point formula over $mathbb{Q}$ or $mathbb{C}$ which is an $L^{(2)}$-analogue of Brown’s formula, then $chi (X/G) = chi^{(2)} (X)$. As an application, we prove that the weak Bass conjecture holds for any finitely presented group $G$ satisfying the following condition: for any finitely dominated $CW$-complex $Y$ with $pi_1 (Y)=G, widetilde{Y}$ satisfies some fixed-point formula over $mathbb{Q}$ or $mathbb{C}$ which is an $L^{(2)}$-analogue of Brown’s formula.","PeriodicalId":55569,"journal":{"name":"Arkiv for Matematik","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2017-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70392975","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Algebraic independence of the values of power series with unbounded coefficients 系数无界幂级数值的代数独立性

IF 0.7 4区数学

Arkiv for Matematik Pub Date : 2017-09-01 DOI: 10.4310/ARKIV.2017.V55.N1.A3

Kaneko Hajime

{"title":"Algebraic independence of the values of power series with unbounded coefficients","authors":"Kaneko Hajime","doi":"10.4310/ARKIV.2017.V55.N1.A3","DOIUrl":"https://doi.org/10.4310/ARKIV.2017.V55.N1.A3","url":null,"abstract":"Many mathematicians have studied the algebraic independence over Q of the values of gap series, and the values of lacunary series satisfying functional equations of Mahler type. In this paper, we give a new criterion for the algebraic independence over Q of the values ∑∞ n=0 t(n)β −n for distinct sequences (t(n))n=0 of nonnegative integers, where β is a fixed Pisot or Salem number. Our criterion is applicable to certain power series which are not lacunary. Moreover, our criterion does not use functional equations. Consequently, we deduce the algebraic independence of certain values ∑∞ n=0 t1(n)β −n, . . . , ∑∞ n=0 tr(n)β −n satisfying lim n→∞,ti−1(n) ̸=0 ti(n) ti−1(n) = ∞ (i = 2, . . . , r) for any positive real number M . 1 The transcendence of the values of power series with bounded coefficients We introduce notation which we use throughout this paper. Let N (resp. Z) be the set of nonnegative integers (resp. positive integers). For a real number x, we denote the integral and fractional parts of x by ⌊x⌋ and {x}, respectively. We use the Landau symbols o,O, and the Vinogradov symbols ≫,≪ with their regular meanings. For a sequence of integers t = (tn) ∞ n=0, put S(t) := {n ∈ N | tn ̸= 0}. and","PeriodicalId":55569,"journal":{"name":"Arkiv for Matematik","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2017-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70393305","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 3

Modulus in Banach function spaces Banach函数空间中的模

IF 0.7 4区数学

Arkiv for Matematik Pub Date : 2017-09-01 DOI: 10.4310/ARKIV.2017.V55.N1.A5

V. Exnerov'a, J. Malý, O. Martio

引用次数: 6

Invertibility of nonsmooth mappings 非光滑映射的可逆性

IF 0.7 4区数学

Arkiv for Matematik Pub Date : 2017-09-01 DOI: 10.4310/ARKIV.2017.V55.N1.A11

M. Montenegro, Adilson E. Presoto

引用次数: 1

The behavior of depth functions of cover ideals of unimodular hypergraphs 非模超图的覆盖理想的深度函数的行为

IF 0.7 4区数学

Arkiv for Matematik Pub Date : 2017-09-01 DOI: 10.4310/ARKIV.2017.V55.N1.A4

Nguyen Thu Hang, T. N. Trung

{"title":"The behavior of depth functions of cover ideals of unimodular hypergraphs","authors":"Nguyen Thu Hang, T. N. Trung","doi":"10.4310/ARKIV.2017.V55.N1.A4","DOIUrl":"https://doi.org/10.4310/ARKIV.2017.V55.N1.A4","url":null,"abstract":"We prove that the cover ideals of all unimodular hypergraphs have the nonincreasing depth function property. Furthermore, we show that the index of depth stability of these ideals is bounded by the number of variables. Introduction Let R=k[x1, ..., xn] be a polynomial ring over a given field k, and let I be a homogeneous ideal in R. It is known by Brodmann [3] that depth(R/I) takes a constant value for large s. Moreover, lim s→∞ depthR/I dimR− (I), where (I) is the analytic spread of I. The index of depth stability of I is defined by dstab(I) :=min { s0 1 |depthS/I =depthS/I0 for all s s0 } . Two natural questions arise from Brodmann’s theorem: (1) What is the nature of the function s →depthR/Is for s dstab(I)? (2) What is a reasonable bound for dstab(I)? On the nature of the function s →depthR/Is for s 1, which is called the depth function of I, Herzog and Hibi [10] conjectured that the depth function of ideals can be any convergent nonnegative integer valued function. The answer is affirmative for bounded increasing functions (see [10]) and non-increasing functions (see [8]). The behavior of depth functions, even for monomial ideals, is complicated (see e.g. [1]). Squarefree monomial ideals behave considerably better than monomial","PeriodicalId":55569,"journal":{"name":"Arkiv for Matematik","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2017-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70393370","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 11