Work

Estimates for Zero Loci of Bernstein–Sato Ideals

Year: 2024

Type: article

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.

Source: Publications of the Research Institute for Mathematical Sciences

DOI: 10.4171/prims/60-3-7

Authors: Nero Budur, Robin van der Veer, Alexander Van Werde

Institutions: Basque Center for Applied Mathematics, KU Leuven, Eindhoven University of Technology

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funder: Fonds Wetenschappelijk Onderzoek

Awards: Interactions between the topology and the geometry of algebraic varieties, G2742192649, Singularities in algebraic geometry