Estimates for Zero Loci of Bernstein–Sato Ideals

Nero Budur; Robin van der Veer; Alexander Van Werde

doi:10.4171/prims/60-3-7

Estimates for Zero Loci of Bernstein–Sato Ideals

Nero Budur, Robin van der Veer, Alexander Van Werde

Stochastic Operations Research

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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.

Originele taal-2	Engels
Pagina's (van-tot)	607-628
Aantal pagina's	22
Tijdschrift	Publications of the Research Institute for Mathematical Sciences
Volume	60
Nummer van het tijdschrift	3
DOI's	https://doi.org/10.4171/prims/60-3-7
Status	Gepubliceerd - 2024

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© 2024 Research Institute for Mathematical Sciences, Kyoto University.

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title = "Estimates for Zero Loci of Bernstein–Sato Ideals",

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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AU - van der Veer, Robin

AU - Van Werde, Alexander

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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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KW - D-module

KW - log resolution

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JF - Publications of the Research Institute for Mathematical Sciences

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Estimates for Zero Loci of Bernstein–Sato Ideals

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