Mathematical Research Letters

Volume 13, Issue 1, January 2006 pp. 125-142.

Roots of Bernstein-Sato polynomials for monomial ideals: a positive characteristic approach

Authors: Nero Budur (1), Mircea Mustata (2), and Morihiko Saito (3)
Author institution: Johns Hopkins University (1), and University of Michigan Ann Arbor (2), and RIMS Kyoto University (3)

Summary: We describe the roots of the Bernstein-Sato polynomial of a monomial ideal using reduction mod $p$ and invariants of singularities in positive characteristic. We give in this setting a positive answer to a problem from \cite{MTW} concerning the dependence on the characteristic for these invariants of singularities.

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