2019
DOI: 10.48550/arxiv.1912.08072
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Hodge ideals and minimal exponents of ideals

Mircea Mustata,
Mihnea Popa

Abstract: We define and study Hodge ideals associated to a coherent ideal sheaf a on a smooth complex variety, via algebraic constructions based on the already existing concept of Hodge ideals associated to Q-divisors. We also define the generic minimal exponent of a, extending the standard invariant for hypersurfaces. We relate it to Hodge ideals, and show that it is a root of the Bernstein-Sato polynomial of a.

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