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

2022/09/02 by Watanabe, Yuta · 2 citations
#14F17 #14F18 #32L10 #32L20 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2209.00823

Abstract

In this article, we get properties for singular (dual) Nakano semi-positivity and obtain singular type vanishing theorem involving L²-subsheaves on weakly pseudoconvex manifolds by L²-estimates and L²-type Dolbeault isomorphisms. As applications, Fujita's conjecture type theorem with singular Hermitian metrics is presented.

Cited by

• Global embeddings of weakly pseudoconvex complex spaces and refined approximation theorems
• Steenbrink vanishing theorem for big line bundles

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