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arXiv · 2209.00823

Nakano-Nadel type, Bogomolov-Sommese type vanishing and singular dual Nakano semi-positivity

Yuta Watanabe
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Abstract

In this article, we get properties for singular (dual) Nakano semi-positivity and obtain singular type vanishing theorem involving $L^2$-subsheaves on weakly pseudoconvex manifolds by $L^2$-estimates and $L^2$-type Dolbeault isomorphisms. As applications, Fujita's conjecture type theorem with singular Hermitian metrics is presented.

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Yuta Watanabe. 2022-09-02. Nakano-Nadel type, Bogomolov-Sommese type vanishing and singular dual Nakano semi-positivity. https://arxiv.org/abs/2209.00823

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