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arXiv · 1608.03646

Bernstein-Sato Polynomials on Normal Toric Varieties

Jen-Chieh Hsiao·Laura Felicia Matusevich
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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.

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Jen-Chieh Hsiao, Laura Felicia Matusevich. 2016-08-12. Bernstein-Sato Polynomials on Normal Toric Varieties. https://arxiv.org/abs/1608.03646

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