Complex Monge-Ampere equations with solutions in finite energy classes
Complex Variables
2021-06-03 v2 Algebraic Geometry
Abstract
We characterize the class of probability measures on a compact Kahler manifold such that the associated Monge-Amp\`ere equation has a solution of finite pluricomplex energy. Our results are also valid in the big cohomology class setting.
Keywords
Cite
@article{arxiv.2010.08619,
title = {Complex Monge-Ampere equations with solutions in finite energy classes},
author = {Do Duc Thai and Duc-Viet Vu},
journal= {arXiv preprint arXiv:2010.08619},
year = {2021}
}
Comments
Final version accepted by Math. Res. Lett