The complex Monge-Amp\'{e}re equation on the complement of a divisor
Differential Geometry
2018-03-29 v1
Abstract
We consider the complex Monge-Amp\'{e}re equation on complete K\"{a}hler manifolds with cusp singularity along a divisor when the right hand side has rather weak regularity. We proved that when the right hand side is in some \emph{weighted} space for , the Monge-Amp\'{e}re equation has a classical solution.
Keywords
Cite
@article{arxiv.1803.10718,
title = {The complex Monge-Amp\'{e}re equation on the complement of a divisor},
author = {Fangyu Zou},
journal= {arXiv preprint arXiv:1803.10718},
year = {2018}
}