61 citations · 233 across the 26 of their papers we have counts for
3 papers · 1 filter
Complex Monge-Amp{è}re equations on Hermitian Manifolds: From bounded to smooth solutions
Papa Badiane, Chinh H. Lu, Ahmed Zeriahi
We study regularity of bounded weak solutions to complex Monge-Amp{è}re equations on compact Hermitian manifolds with right-hand side possibly decreasing in the unknown. Our proof…
Geometric smoothing by the Kähler-Ricci Flow
Eleonora Di Nezza, Vincent Guedj, Chinh Hoang Lu
We study the geometric regularization of a positive closed current by the (twisted) Kähler-Ricci flow on a compact Kähler manifold. We conjecture that the local Arnold multipliciti…
Kähler-Ricci Flow: from divisors to cusps
Eleonora Di Nezza, Vincent Guedj, Chinh H. Lu
We study the geometric regularization of positive closed currents by the Kähler-Ricci flow on compact Kähler manifolds. In a previous work of ours, it was shown that the Kähler-Ric…