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arXiv · 1912.08072

Hodge ideals and minimal exponents of ideals

Mircea Mustata·Mihnea Popa
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Abstract

We define and study Hodge ideals associated to a coherent ideal sheaf J 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 J, 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 J.

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Mircea Mustata, Mihnea Popa. 2019-12-17. Hodge ideals and minimal exponents of ideals. https://arxiv.org/abs/1912.08072

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