Optimal $L^2$ extension of sections from subvarieties in weakly pseudoconvex manifolds
Complex Variables
2021-01-20 v1 Algebraic Geometry
Differential Geometry
Abstract
In this paper, we obtain optimal extension of holomorphic sections of a holomorphic vector bundle from subvarieties in weakly pseudoconvex K\"{a}hler manifolds. Moreover, in the case of line bundle the Hermitian metric is allowed to be singular.
Keywords
Cite
@article{arxiv.1909.08820,
title = {Optimal $L^2$ extension of sections from subvarieties in weakly pseudoconvex manifolds},
author = {Xiangyu Zhou and Langfeng Zhu},
journal= {arXiv preprint arXiv:1909.08820},
year = {2021}
}