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

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

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 [MTW] concerning the dependence on the characteristic for these invariants of singularities.