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

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

1998-07-13

arxiv.org/abs/math/9807069v1

Discrete Comput. Geom. 22 (1999), 259-268.

Mathematics

Algebraic Geometry

10 pages, TeX, to appear in Discrete Comput. Geom

Scientific paper

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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