English

Ehrhart analogue of the h-vector

Algebraic Geometry 2007-05-23 v1 Combinatorics

Abstract

We consider a formula of Stanley that expresses the Ehrhart generating polynomial of a polyhedral complex in terms of the h-polynomials of toric varieties. We prove that the coefficients in this expression are all non-negative and show that these coefficients can be found using the decomposition theorem in intersection cohomology.

Keywords

Cite

@article{arxiv.math/0607286,
  title  = {Ehrhart analogue of the h-vector},
  author = {Kalle Karu},
  journal= {arXiv preprint arXiv:math/0607286},
  year   = {2007}
}

Comments

7 pages, Snowbird talk

R2 v1 2026-07-22T17:38:53.131Z