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
收藏
页码：787 / 795
页数：8
相关论文
共 50 条
  • [1] Ehrhart polynomials and stringy Betti numbers
    Mustata, M
    Payne, S
    [J]. MATHEMATISCHE ANNALEN, 2005, 333 (04) : 787 - 795
  • [2] BETTI NUMBERS OF TORIC VARIETIES AND EULERIAN POLYNOMIALS
    Golubitsky, Letitia
    [J]. COMMUNICATIONS IN ALGEBRA, 2012, 40 (06) : 2091 - 2105
  • [3] Mixed Ehrhart polynomials
    Haase, Christian
    Juhnke-Kubitzke, Martina
    Sanyal, Raman
    Theobald, Thorsten
    [J]. ELECTRONIC JOURNAL OF COMBINATORICS, 2017, 24 (01):
  • [4] Characteristic and Ehrhart Polynomials
    Andreas Blass
    Bruce E. Sagan
    [J]. Journal of Algebraic Combinatorics, 1998, 7 : 115 - 126
  • [5] Characteristic and Ehrhart polynomials
    Blass, A
    Sagan, BE
    [J]. JOURNAL OF ALGEBRAIC COMBINATORICS, 1998, 7 (02) : 115 - 126
  • [6] Ehrhart tensor polynomials
    Berg, Soeren
    Jochemko, Katharina
    Silverstein, Laura
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2018, 539 : 72 - 93
  • [7] GENERALIZED EHRHART POLYNOMIALS
    Chen, Sheng
    Li, Nan
    Sam, Steven V.
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2012, 364 (01) : 551 - 569
  • [8] Quasi-polynomials associated with Bass and Betti numbers of filtered modules
    Dichi, H
    [J]. ARCHIV DER MATHEMATIK, 2001, 77 (05) : 399 - 406
  • [9] Quasi-polynomials associated with Bass and Betti numbers of filtered modules
    H. Dichi
    [J]. Archiv der Mathematik, 2001, 77 : 399 - 406
  • [10] Flat -vectors and their Ehrhart polynomials
    Hibi, Takayuki
    Tsuchiya, Akiyoshi
    [J]. ARCHIV DER MATHEMATIK, 2017, 108 (02) : 151 - 157
12345