Difference of Hilbert series of homogeneous monoid algebras and their normalizations

Akihiro Higashitani

Let $Q$ be an affine monoid, $\mathbb{k}[Q]$ the associated monoid $\mathbb{k}$-algebra, and $\mathbb{k}[\overline{Q}]$ its normalization, where we let $\mathbb{k}$ be a field. In this paper, in the c…