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Ehrhart polynomials and stringy Betti numbers

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, University of Michigan, Ann Arbor, MI, 48109, USA

    Mircea Mustaţa & Sam Payne

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  1. Mircea Mustaţa
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  2. Sam Payne
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Correspondence to Mircea Mustaţa.

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The first author was partially supported by NSF grant DMS 0500127 and the second author was supported by a Graduate Research Fellowship from the NSF

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Mustaţa, M., Payne, S. Ehrhart polynomials and stringy Betti numbers. Math. Ann. 333, 787–795 (2005). https://doi.org/10.1007/s00208-005-0691-x

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  • DOI: https://doi.org/10.1007/s00208-005-0691-x

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