On Generalized h--Vectors of Rational Polytopes with a Symmetry of Prime Order

1998/07/13 by A. A'Campo-Neuen
Mathematics · #math.AG #math.CO #msc:52B20 #msc:14M25 #msc:14F32

paper · pdf

published as Discrete Comput. Geom. 22 (1999), 259-268. · 10 pages, TeX, to appear in Discrete Comput. Geom

arxiv created 1998/07/13 · arxiv updated 2009/11/30

Abstract

We prove tight lower bounds for the coefficients of the generalized h-vector of a rational polytope with a symmetry of prime order that is fixed--point--free on the boundary. These bounds generalize results of R.~Stanley and R.~Adin for the h--vector of a simplicial rational polytope with a central symmetry or a symmetry of prime order respectively.

Related

• Lower Bounds for the Generalized h-Vectors of Centrally Symmetric Polytopes
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• Rational polytopes with Ehrhart coefficients of arbitrary period