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arxiv: 2111.03334 · v2 · pith:CR6OPEWJ · submitted 2021-11-05 · math.AG

Estimates for zero loci of Bernstein-Sato ideals

Nero Budur , Robin van der Veer , Alexander Van Werde This is my paper

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classification math.AG
keywords bernstein-satoidealsboundestimateslocipolynomialsrootsupper
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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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