Bernstein-Sato Polynomials on Normal Toric Varieties
Algebraic Geometry
2016-08-15 v1 Commutative Algebra
Combinatorics
Abstract
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.
Cite
@article{arxiv.1608.03646,
title = {Bernstein-Sato Polynomials on Normal Toric Varieties},
author = {Jen-Chieh Hsiao and Laura Felicia Matusevich},
journal= {arXiv preprint arXiv:1608.03646},
year = {2016}
}
Comments
14 pages