Monge-Amp\`ere equations with prescribed singularities on compact Hermitian manifolds
Complex Variables
2025-11-05 v1
Abstract
Given a compact complex manifold , we study the existence and the uniqueness of weak solutions to degenerate Monge-Amp\`ere equations on with prescribed singularities when the reference form is semipositive and big, while the right hand side is a non-pluripolar positive Radon measure. This generalizes our previous work to more general hermitian manifolds and also to the case of solutions with prescribed singularities.
Keywords
Cite
@article{arxiv.2511.02339,
title = {Monge-Amp\`ere equations with prescribed singularities on compact Hermitian manifolds},
author = {Omar Alehyane and Chinh H. Lu and Mohammed Salouf},
journal= {arXiv preprint arXiv:2511.02339},
year = {2025}
}