Estimates for zero loci of Bernstein-Sato ideals

Alexander Van Werde; Nero Budur; Robin van der Veer

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Estimates for zero loci of Bernstein-Sato ideals

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

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

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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