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

A. A'Campo-Neuen
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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.

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A. A'Campo-Neuen. 1998-07-13. On Generalized $h$--Vectors of Rational Polytopes with a Symmetry of Prime Order. https://arxiv.org/abs/math/9807069

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