Estimates for Zero Loci of Bernstein–Sato Ideals
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.
Authors
- Robin van der Veer (ORCID: https://orcid.org/0000-0002-2745-4585)
- Nero Budur (ORCID: https://orcid.org/0000-0002-0181-9988)
- Alexander Van Werde (ORCID: https://orcid.org/0000-0002-4670-1836)
Institutions
- Basque Center for Applied Mathematics (ES)
- Eindhoven University of Technology (NL)
- KU Leuven (BE)
Publication Details
- Journal
- Publications of the Research Institute for Mathematical Sciences
- Published
- 2024-10-02
- DOI
- https://doi.org/10.4171/prims/60-3-7
- Primary Topic
- Rings, Modules, and Algebras
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Fonds Wetenschappelijk Onderzoek