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 - laura@math.tamu.edu
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).