75 citations · 335 across the 47 of their papers we have counts for
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Stability of solutions to complex Monge-Ampère equations in big cohomology classes
Vincent Guedj, Ahmed Zeriahi
We establish various stability results for solutions of complex Monge-Ampère equations in big cohomology classes, generalizing results that were known to hold in the context of Käh…
Hölder continuous solutions to Monge-Ampère equations
Jean-Pierre Demailly, Slawomir Dinew, Vincent Guedj +3
Let be a compact Kähler manifold. We obtain uniform Hölder regularity for solutions to the complex Monge-Ampère equation on with right hand side, . The same…
A Lichnerowicz estimate for the first eigenvalue of convex domains in Kähler manifolds
Boris Kolev, Vincent Guedj, Nader Yeganefar
In this article, we prove a Lichnerowicz estimate for a compact convex domain of a Kähler manifold whose Ricci curvature satisfies $\Ric \ge k$ for some constant . When equali…
Kähler-Einstein metrics and the Kähler-Ricci flow on log Fano varieties
Robert J. Berman, Sébastien Boucksom, Philippe Eyssidieux +2
We prove the existence and uniqueness of Kähler-Einstein metrics on Q-Fano varieties with log terminal singularities (and more generally on log Fano pairs) whose Mabuchi functional…