3 papers
math.CV2026
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 al…
math.DG2025
Kähler-Ricci flows coming out of metric spaces
Alix Deruelle, Vincent Guedj, Henri Guenancia +1
Given a compact Kähler manifold and a closed, positive -current on , we find sufficient conditions for to induce a metric structure which is the Gr…
math.CV2025
High Energy plurisubharmonic classes
Vincent Guedj, Ahmed Zeriahi
Let $Ω\Subset \C^n$ be a bounded strongly pseudoconvex domain. For any concave increasing weight such that , we introduce and study fini…