Vanishing for Hodge ideals on toric varieties

Abstract

In this article we construct a Koszul-type resolution of the p-th exterior power of the sheaf of holomorphic differential forms on smooth toric varieties and use this to prove a Nadel-type vanishing theorem for Hodge ideals associated to effective Q-divisors on smooth projective toric varieties. This extends earlier results of Mustata and Popa.

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