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arXiv · 2111.03334

Estimates for zero loci of Bernstein-Sato ideals

Nero Budur·Robin van der Veer·Alexander Van Werde
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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.

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Nero Budur, Robin van der Veer, Alexander Van Werde. 2021-11-05. Estimates for zero loci of Bernstein-Sato ideals. https://arxiv.org/abs/2111.03334

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