Lower Bounds for the Generalized h-Vectors of Centrally Symmetric Polytopes

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dc.creatorA'Campo-Neuen, Annette
dc.date2003-01-26
dc.date.accessioned2026-07-07T04:54:41Z
dc.date.available2026-07-07T04:54:41Z
dc.descriptionIn a previous article, we proved tight lower bounds for the coefficients of the generalized $h$-vector of a centrally symmetric rational polytope using intersection cohomology of the associated projective toric variety. Here we present a new proof based on the theory of combinatorial intersection cohomology developed by Barthel, Brasselet, Fieseler and Kaup. This theory is also valid for nonrational polytopes when there are no corresponding toric varieties. So we can establish our bounds for centrally symmetric polytopes even without requiring them to be rational.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/math/0301303
dc.identifierhttp://arxiv.org/abs/math/0301303
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66356
dc.subjectAlgebraic Geometry
dc.subjectCombinatorics
dc.subject52B20, 14M25, 14F32
dc.titleLower Bounds for the Generalized h-Vectors of Centrally Symmetric Polytopes
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