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arXiv · 1807.11911

Vanishing for Hodge ideals on toric varieties

Yajnaseni Dutta
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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. 2018-07-31. Vanishing for Hodge ideals on toric varieties. https://doi.org/10.1002/mana.201800363

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