Dolbeault Cohomologies of Blowing up Complex Manifolds
Time: 2018-11-05
Published By: He Liu
Speaker(s): Sheng Rao (Wuhan University)
Time: 10:00-12:00 November 16, 2018
Venue: Room 1303, Sciences Building No. 1
I will present two blow-up formulae for Dolbeault cohomologies of compact complex manifolds, and also their applications to complex geomey, such as Alessandrini's question on modification stability of ddbar-lemma and positive (or negative) examples associated to the vanishing theorem of Girbau. Two proofs for the formulae will be sketched. This talk is based on the joint works arXiv:1712.06749, 1809.07277 with Song Yang and Xiangdong Yang.