paper

Continuity of Monge-Ampère Potentials with Prescribed Singularities

arXiv:2304.06573

Abstract

We study the continuity of solutions to complex Monge-Ampere equations with prescribed singularities. This generalizes the previous results of DiNezza-Lu and the author. As an application, we can run the Monge-Ampere flow starting at a current with prescribed singularities.

arXiv commentaccepted version in J. Geom. Anal