75 citations · 335 across the 47 of their papers we have counts for
54 papers
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 Gro…
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 finite…
Diameter of Kähler currents
Vincent Guedj, Henri Guenancia, Ahmed Zeriahi
We establish upper bounds on the diameter of compact Kähler manifolds endowed with Kähler metrics whose volume form satisfies an Orlicz integrability condition. Our results extend…
Kähler-Einstein metrics with positive curvature near an isolated log terminal singularity
Vincent Guedj, Antonio Trusiani, Sébastien Boucksom
We analyze the existence of Kähler-Einstein metrics of positive curvature in the neighborhood of a germ of a log terminal singularity . This boils down to solve a Dirichlet…
Strict positivity of Kähler-Einstein currents
Vincent Guedj, Henri Guenancia, Ahmed Zeriahi
Kähler-Einstein currents, also known as singular Kähler-Einstein metrics, have been introduced and constructed a little over a decade ago. These currents live on mildly singular co…
Degenerate complex Hessian equations on compact Hermitian manifolds
Vincent Guedj, Chinh H. Lu
In this note we provide uniform a priori estimates for solutions to degenerate complex Hessian equations on compact hermitian manifolds. Our approach relies on the corresponding a…