论文标题
从驯服功能的霍奇理论到ehrhart理论的多面理论
From Hodge theory for tame functions to Ehrhart theory for polytopes
论文作者
论文摘要
我们研究了Sabbah的常规功能的混合霍奇结构与多面体Ehrhart理论之间的相互作用。为此,我们分析了这种混合霍奇结构的霍奇过滤的庞加莱多项式的特性。
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.