Estimates for zero loci of Bernstein-Sato ideals

Nero Budur; Robin van der Veer; Alexander Van Werde

Estimates for zero loci of Bernstein-Sato ideals

Nero Budur
, Robin van der Veer
, Alexander Van Werde

Stochastic Operations Research

Research output: Working paper › Preprint › Professional › peer-review

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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.

Original language	English
Place of Publication	Publications of the Research Institute for Mathematical Sciences
Publisher	EMS Publishing House
Publication status	Accepted/In press - 12 Jan 2023

Bibliographical note

v2: minor changes, accepted for publication in Publications of the Research Institute for Mathematical Sciences

Funding

N. Budur was supported by the grants FWO G097819N, FWO G0B3123N, Methusalem METH/15/026. R. van der Veer was supported by an FWO PhD fellowship

Keywords

math.AG

Access to Document

2111.03334v2

Cite this

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AB - 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.

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BT - Estimates for zero loci of Bernstein-Sato ideals

PB - EMS Publishing House

CY - Publications of the Research Institute for Mathematical Sciences

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Estimates for zero loci of Bernstein-Sato ideals

Abstract

Bibliographical note

Funding

Keywords

Access to Document

Fingerprint

Cite this