Quasi-plurisubharmonic envelopes 2: Bounds on Monge-Ampère volumes
Quasi-plurisubharmonic envelopes 2: Bounds on Monge-Ampère volumes
In \cite{GL21a} we have developed a new approach to $L^{\infty}$-a priori estimates for degenerate complex Monge-Amp\`ere equations, when the reference form is closed. This simplifying assumption was used to ensure the constancy of the volumes of Monge-Amp\`ere measures. We study here the way these volumes stay away from zero and …