Bernstein-Sato polynomials on normal toric varieties

Jen-Chieh Hsiao, Laura Felicia Matusevich

Research output: Contribution to journalArticle

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
Publication statusPublished - 2018 Mar 1

Fingerprint

Multiplier Ideals
Semigroup Ring
Monomial Ideals
Bernstein Polynomials
Toric Varieties
Roots
Generalise
Coefficient

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Hsiao, Jen-Chieh ; Matusevich, Laura Felicia. / Bernstein-Sato polynomials on normal toric varieties. In: Michigan Mathematical Journal. 2018 ; Vol. 67, No. 1. pp. 117-132.
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Bernstein-Sato polynomials on normal toric varieties. / Hsiao, Jen-Chieh; Matusevich, Laura Felicia.

In: Michigan Mathematical Journal, Vol. 67, No. 1, 01.03.2018, p. 117-132.

Research output: Contribution to journalArticle

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