75 citations · 335 across the 47 of their papers we have counts for
3 papers · 1 filter
Continuity of singular Kähler-Einstein potentials
Vincent Guedj, Henri Guenancia, Ahmed Zeriahi
In this note, we investigate some regularity aspects for solutions of degenerate complex Monge-Ampère equations (DCMAE) on singular spaces. First, we study the Dirichlet problem fo…
Finite entropy vs finite energy
Eleonora Di Nezza, Vincent Guedj, Chinh H. Lu
Probability measures with either finite Monge-Ampère energy or finite entropy have played a central role in recent developments in Kähler geometry. In this note we make a systemati…
Families of singular Kähler-Einstein metrics
Eleonora Di Nezza, Vincent Guedj, Henri Guenancia
Refining Yau's and Kolodziej's techniques, we establish very precise uniform a priori estimates for degenerate complex Monge-Ampère equations on compact Kähler manifolds, that allo…