Contents Online
Surveys in Differential Geometry
Volume 17 (2012)
Complex Monge-Ampère equations
Pages: 327 – 410
DOI: https://dx.doi.org/10.4310/SDG.2012.v17.n1.a8
Authors
Abstract
This is a survey of some of the recent developments in the theory of complex Monge-Ampère 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.
Published 15 March 2013