Complex Monge-Amp\`ere equations on quasi-projective varieties
Complex Variables
2014-01-27 v1 Analysis of PDEs
Differential Geometry
Abstract
We introduce generalized Monge-Amp\`ere capacities and use these to study complex Monge-Amp\`ere equations whose right-hand side is smooth outside a divisor. We prove, in many cases, that there exists a unique normalized solution which is smooth outside the divisor.
Keywords
Cite
@article{arxiv.1401.6398,
title = {Complex Monge-Amp\`ere equations on quasi-projective varieties},
author = {Eleonora Di Nezza and Chinh H. Lu},
journal= {arXiv preprint arXiv:1401.6398},
year = {2014}
}