JournalsprimsVol. 60, No. 3pp. 607–628

Estimates for Zero Loci of Bernstein–Sato Ideals

  • Nero Budur

    KU Leuven, Leuven, Belgium; BCAM, Bilbao, Spain

  • Robin van der Veer

    KU Leuven, Leuven, Belgium

  • Alexander Van Werde

    KU Leuven, Leuven, Belgium; Eindhoven University of Technology, MB Eindhoven, Netherlands
Estimates for Zero Loci of Bernstein–Sato Ideals cover
Download PDF

This article is published open access under our Subscribe to Open model.

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.

Cite this article

Nero Budur, Robin van der Veer, Alexander Van Werde, Estimates for Zero Loci of Bernstein–Sato Ideals. Publ. Res. Inst. Math. Sci. 60 (2024), no. 3, pp. 607–628

DOI 10.4171/PRIMS/60-3-7