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Annales de la faculté des sciences de Toulouse Mathématiques
Article . 2025 . Peer-reviewed
License: CC BY
Data sources: Crossref
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Nakano–Nadel type, Bogomolov–Sommese type vanishing and singular dual Nakano semi-positivity

Authors: Yuta Watanabe;

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

Abstract

In this article, we get properties for singular (dual) Nakano semi-positivity and obtain vanishing theorems 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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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
gold