A generalization of Nadel vanishing theorem

Xiangyu Zhou; Xiankui Meng

A generalization of Nadel vanishing theorem

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arxiv 2011.09637 v1 pith:6LCGIXAT submitted 2020-11-19 math.CV

Xiankui Meng , Xiangyu Zhou This is my paper · ORCID

classification math.CV

keywords theoremvanishingnadelapplicationbundlesclassicalequippedestablish

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abstract

In this paper we first prove a version of $L^{2}$ existence theorem for line bundles equipped a singular Hermitian metrics. Aa an application, we establish a vanishing theorem which generalizes the classical Nadel vanishing theorem.

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Vanishing theorems for pseudo-effective line bundles
math.CV 2026-02 conditional novelty 7.0 of 10

A single Kawamata-Viehweg-Kollár-Nadel vanishing theorem for higher direct images holds on compact Kähler manifolds, with the vanishing range determined by the numerical dimension of a closed positive current T on the base.

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