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


Author: Chunle Huang
Journal: Proc. Amer. Math. Soc. 147 (2019), 4949-4954
MSC (2010): Primary 53C55; Secondary 32L20
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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Additional Information

Chunle Huang
Affiliation: Institute of Mathematics, Hunan University, Changsha, 410082, People’s Republic of China
Email: 402961544@qq.com

DOI: https://doi.org/10.1090/proc/14600
Received by editor(s): December 27, 2018
Received by editor(s) in revised form: February 22, 2019
Published electronically: July 9, 2019
Communicated by: Jiaping Wang
Article copyright: © Copyright 2019 American Mathematical Society