On the modulus of continuity of solutions to complex Monge-Amp\`ere
equations
On the modulus of continuity of solutions to complex Monge-Amp\`ere
equations
In this paper, we prove a uniform and sharp estimate for the modulus of continuity of solutions to complex Monge-Amp\`ere equations, using the PDE-based approach developed by the first three authors in their approach to supremum estimates for fully non-linear equations in K\"ahler geometry. As an application, we derive a …