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Bernstein-Sato theory for arbitrary ideals in positive characteristic

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Mustaţă defined Bernstein-Sato polynomials in prime characteristic for principal ideals and proved that the roots of these polynomials are related to the F F -jumping numbers of the ideal. This… Click to show full abstract

Mustaţă defined Bernstein-Sato polynomials in prime characteristic for principal ideals and proved that the roots of these polynomials are related to the F F -jumping numbers of the ideal. This approach was later refined by Bitoun. Here we generalize these techniques to develop analogous notions for the case of arbitrary ideals and prove that these have similar connections to F F -jumping numbers.

Keywords: ideals positive; positive characteristic; theory arbitrary; sato theory; arbitrary ideals; bernstein sato

Journal Title: Transactions of the American Mathematical Society
Year Published: 2020

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