Ehrhart polynomials and stringy Betti numbers

Details Ehrhart polynomials and stringy Betti numbers Ehrhart polynomials and stringy Betti numbers

2005-04-23

arxiv.org/abs/math/0504486v2

Math. Ann. 333 (2005), no. 4, 787--795.

Mathematics

Algebraic Geometry

8 pages; revised version: added reference to paper of Batyrev-Dais, combinatorial proof of Theorem 1.3 included; to appear in

Scientific paper

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 delta-vectors of reflexive polytopes.

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