Abstract
In this short paper, we study complex Monge-Ampère equations over closed Kähler manifolds. The generalization from classic case is that the cohomology class can be no longer Kähler. The center of the argument is to derive a priori L∞ estimate for the solution. With some help from a classic result in several complex variables, we can prove the continuity of the solution for the most interesting case. Our proof makes use of pluripotential theory and is a quite direct generalization of the works of S. Kolodziej.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.