From Hodge theory for tame functions to Ehrhart theory for polytopes
Algebraic Geometry
2024-03-06 v6 Combinatorics
Abstract
We study the interplay between Sabbah's mixed Hodge structure for regular functions and Ehrhart theory for polytopes. To this end, we analyze the properties of the Poincar\'e polynomial of the Hodge filtration of this mixed Hodge structure.
Keywords
Cite
@article{arxiv.2006.13669,
title = {From Hodge theory for tame functions to Ehrhart theory for polytopes},
author = {Antoine Douai},
journal= {arXiv preprint arXiv:2006.13669},
year = {2024}
}
Comments
v6: references updated; other minor edits