Ehrhart polynomials and stringy Betti numbers

被引:0
|
作者
Mircea Mustaţa
Sam Payne
机构
[1] University of Michigan,Department of Mathematics
来源
Mathematische Annalen | 2005年 / 333卷
关键词
Toric Variety; Betti Number; Betti; Ehrhart Polynomial; Polyhedral Region;
D O I
暂无
中图分类号
学科分类号
摘要
We study the connection between stringy Betti numbers of Gorenstein toric varieties and the generating functions of the Ehrhart polynomials of certain polyhedral regions. We use this point of view to give counterexamples to Hibi's conjecture on the unimodality of δ-vectors of reflexive polytopes.
引用
下载
收藏
页码:787 / 795
页数:8
相关论文
共 50 条
  • [21] Counterexamples of the Conjecture on Roots of Ehrhart Polynomials
    Higashitani, Akihiro
    DISCRETE & COMPUTATIONAL GEOMETRY, 2012, 47 (03) : 618 - 623
  • [22] Ehrhart polynomials of polytopes and spectrum at infinity of Laurent polynomials
    Douai, Antoine
    JOURNAL OF ALGEBRAIC COMBINATORICS, 2021, 54 (03) : 719 - 732
  • [23] Volumes and Ehrhart polynomials of flow polytopes
    Karola Mészáros
    Alejandro H. Morales
    Mathematische Zeitschrift, 2019, 293 : 1369 - 1401
  • [24] Interlacing Ehrhart polynomials of reflexive polytopes
    Higashitani, Akihiro
    Kummer, Mario
    Michalek, Mateusz
    SELECTA MATHEMATICA-NEW SERIES, 2017, 23 (04): : 2977 - 2998
  • [25] Lower bounds on the coefficients of Ehrhart polynomials
    Henk, Martin
    Tagami, Makoto
    EUROPEAN JOURNAL OF COMBINATORICS, 2009, 30 (01) : 70 - 83
  • [26] Ehrhart Polynomials of Matroid Polytopes and Polymatroids
    Jesús A. De Loera
    David C. Haws
    Matthias Köppe
    Discrete & Computational Geometry, 2009, 42 : 670 - 702
  • [27] BETTI NUMBERS ARE TESTABLE
    Elek, Gabor
    FETE OF COMBINATORICS AND COMPUTER SCIENCE, 2010, 20 : 139 - 149
  • [28] CURVATURE AND BETTI NUMBERS
    BOCHNER, S
    ANNALS OF MATHEMATICS, 1948, 49 (02) : 379 - 390
  • [29] Maximal Betti numbers
    Chardin, M
    Gasharov, V
    Peeva, I
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2002, 130 (07) : 1877 - 1880
  • [30] COVERINGS AND BETTI NUMBERS
    ECKMANN, B
    BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1948, 54 (07) : 645 - 645