Bernstein-Sato Polynomials on Normal Toric Varieties
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2018 University of Michigan. All rights reserved. We generalize the Bernstein-Sato polynomials of Budur, Musta, 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. To prove the latter result, we obtain a new combinatorial description for the multiplier ideals of a monomial ideal in a normal semigroup ring.