Corpus ID: 235731681

# Quasi-plurisubharmonic envelopes 3: Solving Monge-Amp\ere equations on hermitian manifolds

@inproceedings{Guedj2021QuasiplurisubharmonicE3,
title={Quasi-plurisubharmonic envelopes 3: Solving Monge-Amp\ere equations on hermitian manifolds},
author={V. Guedj and Chinh H. Lu},
year={2021}
}
• V. Guedj, Chinh H. Lu
• Published 2021
• Mathematics
We develop a new approach to L-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 [GL21a] we have shown how this method allows one to obtain new and efficient proofs of several fundamental results in Kähler geometry. In [GL21b] we have studied the behavior of Monge-Ampère volumes on hermitian manifolds. We extend here the techniques of [GL21a] to the… Expand
1 Citations
Quasi-plurisubharmonic envelopes 2: Bounds on Monge-Amp\ere volumes
• Mathematics
• 2021
Abstract. In [GL21a] we have developed a new approach to L∞-a priori estimates for degenerate complex Monge-Ampère equations, when the reference form is closed. This simplifying assumption was usedExpand

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