Open AccessSome vanishing theorems for 𝑘-positive line bundles twisted by pseudo-effective line bundles
Author(s) -
Chunle Huang
Publication year - 2019
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/proc/14600
Subject(s) - annotation , semantics (computer science) , type (biology) , algorithm , line (geometry) , computer science , artificial intelligence , mathematics , geometry , programming language , biology , ecology
We will first present a new proof of the famous Nadel vanishing theorem by using Demailly’s equisingular approximation theorem and Hörmander L 2 L^2 estimates. Then some vanishing theorems for k k -positive line bundles twisted by pseudo-effective line bundles will be discussed by the same methods.