Some vanishing theorems for 𝑘-positive line bundles twisted by pseudo-effective line bundles

Huang, Chunle

doi:10.1090/proc/14600

Some vanishing theorems for $k$-positive line bundles twisted by pseudo-effective line bundles
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by Chunle Huang

Proc. Amer. Math. Soc. 147 (2019), 4949-4954

DOI: https://doi.org/10.1090/proc/14600

Published electronically: July 9, 2019

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Abstract:

We will first present a new proof of the famous Nadel vanishing theorem by using Demailly’s equisingular approximation theorem and Hörmander $L^2$ estimates. Then some vanishing theorems for $k$-positive line bundles twisted by pseudo-effective line bundles will be discussed by the same methods.

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