English

Complex Monge Ampere Equations

Differential Geometry 2012-10-02 v2 Complex Variables

Abstract

This is a survey of some of the recent developments in the theory of complex Monge-Ampere equations. The topics discussed include refinements and simplifications of classical a priori estimates, methods from pluripotential theory, variational methods for big cohomology classes, semiclassical constructions of solutions of homogeneous equations, and envelopes.

Keywords

Cite

@article{arxiv.1209.2203,
  title  = {Complex Monge Ampere Equations},
  author = {D. H. Phong and Jian Song and J. Sturm},
  journal= {arXiv preprint arXiv:1209.2203},
  year   = {2012}
}

Comments

References added, misprints corrected

R2 v1 2026-06-21T22:02:58.697Z