Ehrhart polynomials and stringy Betti numbers

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dc.creatorMustata, Mircea
dc.creatorPayne, Sam
dc.date2005-04-23
dc.date2005-06-08
dc.date.accessioned2026-07-07T06:29:45Z
dc.date.available2026-07-07T06:29:45Z
dc.descriptionWe 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.
dc.description8 pages; revised version: added reference to paper of Batyrev-Dais, combinatorial proof of Theorem 1.3 included; to appear in Math. Ann
dc.identifierhttps://arxiv.org/abs/math/0504486
dc.identifierhttp://arxiv.org/abs/math/0504486
dc.identifierMath. Ann. 333 (2005), no. 4, 787--795.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98146
dc.subjectAlgebraic Geometry
dc.subjectCombinatorics
dc.subject14M25; 52B20
dc.titleEhrhart polynomials and stringy Betti numbers
dc.typetext

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