Bernstein-Sato Polynomials on Normal Toric Varieties

Jen-Chieh Hsiao, Laura Felicia Matusevich

Published 2016-08-12Version 1

We generalize the Bernstein-Sato polynomials of Budur, Mustata and Saito to ideals in normal semigroup rings. In the case of monomial ideals, we also relate the roots of the Bernstein-Sato polynomial to the jumping coefficients of the corresponding multiplier ideals. In order to prove the latter result, we obtain a new combinatorial description for the multiplier ideals of a monomial ideal in a normal semigroup ring.