Conference abstracts

Session S02 - Commutative Algebra and Algebraic Geometry

July 26, 16:20 ~ 16:50

Bernstein--Sato polynomials for ideals in semigroup rings

Laura Felicia Matusevich

Texas A&M University, USA   -

We extend the Budur--Musta\c{t}\u{a}--Saito definition of Bernstein--Sato polynomials for varieties, to the context of ideals in normal semigroup rings. In the special case of monomial ideals in normal semigroup rings, we also provide a correspondence between certain roots of the Bernstein--Sato polynomial and certain jumping coefficients of the corresponding multiplier ideals.

Joint work with Jen-Chieh Hsiao (National Cheng Kung University, Taiwan).

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