Extension of cohomology classes and holomorphic sections defined on subvarieties
Complex Variables
2019-09-20 v1 Algebraic Geometry
Differential Geometry
Abstract
In this paper, we obtain two extension theorems for cohomology classes and holomorphic sections defined on analytic subvarieties, which are defined as the supports of the quotient sheaves of multiplier ideal sheaves of quasi-plurisubharmonic functions with arbitrary singularities. The first result gives a positive answer to a question posed by Cao-Demailly-Matsumura, and unifies a few well-known injectivity theorems. The second result generalizes and optimizes a general extension theorem obtained by Demailly.
Keywords
Cite
@article{arxiv.1909.08822,
title = {Extension of cohomology classes and holomorphic sections defined on subvarieties},
author = {Xiangyu Zhou and Langfeng Zhu},
journal= {arXiv preprint arXiv:1909.08822},
year = {2019}
}