Orateur
Prof.
Daniel Bennequin
(IMJ)
Description
Conjugating a variety of methods, analytic series, Schauder a priori estimates, global continuity, Alireza Barhaini obtained recently a precise description of the singular behavior of the solution of a complex Monge-Ampère equation, degenerating along a smooth divisor in a compact Kähler manifold. Applications are given to the Bogomolov-Miyaoka-Yau inequality and to the Kodaira-Hodge theory on a class of singular complex structures, in view of the proof of the existence of Lagrangian surfaces in projective complex surfaces of the general type.
Auteur principal
Prof.
Daniel Bennequin
(IMJ)
