Estimates for zero loci of Bernstein-Sato ideals

Abstract

We give estimates for the zero loci of Bernstein-Sato ideals. An upper bound is proved as a multivariate generalisation of the upper bound by Lichtin for the roots of Bernstein-Sato polynomials. The lower bounds generalise the fact that log-canonical thresholds, small jumping numbers of multiplier ideals, and their real versions provide roots of Bernstein-Sato polynomials.

v2: minor changes, to appear in PRIMS

Cited by in corpus (1)

• Maximum Likelihood Estimation from a Tropical and a Bernstein--Sato Perspective