English

Estimates for zero loci of Bernstein-Sato ideals

Algebraic Geometry 2023-01-13 v2

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.

Keywords

Cite

@article{arxiv.2111.03334,
  title  = {Estimates for zero loci of Bernstein-Sato ideals},
  author = {Nero Budur and Robin van der Veer and Alexander Van Werde},
  journal= {arXiv preprint arXiv:2111.03334},
  year   = {2023}
}

Comments

v2: minor changes, to appear in PRIMS