Bernstein-Sato polynomials on normal toric varieties

Jen Chieh Hsiao, Laura Felicia Matusevich

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

We generalize the Bernstein-Sato polynomials of Budur, Mustaţǎ, 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.

Original languageEnglish
Pages (from-to)117-132
Number of pages16
JournalMichigan Mathematical Journal
Volume67
Issue number1
DOIs
Publication statusPublished - 2018 Mar

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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