Beyond positivity in Ehrhart Theory
Combinatorics
2022-10-20 v1 Commutative Algebra
Algebraic Geometry
Abstract
We study semigroup algebras arising from lattice polytopes, compute their volume polynomials (particularizing work of Hochster), and establish strong Lefschetz properties (generalizing work of the first three authors). This resolves several conjectures concerning unimodality properties of the -polynomial of lattice polytopes arising within Ehrhart theory.
Cite
@article{arxiv.2210.10734,
title = {Beyond positivity in Ehrhart Theory},
author = {Karim Alexander Adiprasito and Stavros Argyrios Papadakis and Vasiliki Petrotou and Johanna Kristina Steinmeyer},
journal= {arXiv preprint arXiv:2210.10734},
year = {2022}
}