From Hodge theory for tame functions to Ehrhart theory for polytopes

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 Poincaré polynomial of the Hodge filtration of this mixed Hodge structure.

v6: references updated; other minor edits

References in corpus (2)

• The canonical strip, I
• Some properties and applications of Brieskorn lattices