Vanishing for Hodge ideals on toric varieties

Published 31 Jul 2018 in math.AG | (1807.11911v1)

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 \mathbb{Q}-divisors on smooth projective toric varieties. This extends earlier results of Musta\c{t}\u{a} and Popa.

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Yajnaseni Dutta

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