Quasi-plurisubharmonic envelopes 3: Solving Monge–Ampère equations on hermitian manifolds
Quasi-plurisubharmonic envelopes 3: Solving Monge–Ampère equations on hermitian manifolds
Abstract We develop a new approach to <m:math xmlns:m="http://www.w3.org/1998/Math/MathML"> <m:msup> <m:mi>L</m:mi> <m:mi mathvariant="normal">∞</m:mi> </m:msup> </m:math> L^{\infty} -a priori estimates for degenerate complex Monge–Ampère equations on complex manifolds. It only relies on compactness and envelopes properties of quasi-plurisubharmonic functions. In a prequel [Quasi-plurisubharmonic envelopes 1: Uniform estimates on Kähler manifolds, preprint …