Algebro-differential embeddings of compact complex structures
主 题: Algebro-differential embeddings of compact complex structures
报告人: Professor Demailly (Université Joseph Fourier, Institut Fourier)
时 间: 2015-05-29 10:10-12:00
地 点: Room 29, Quan Zhai, BICMR
We study here the possibility of realizing a given (almost) complex structure as the transverse structure to an algebraic distribution or foliation on a complex projective variety, according to a suggestion made by F. Bogomolov in 1996 for the integrable case. We develop a deformation theory that implies strong constraints on embedding dimensions, and on the other hand, we show the existence of "universal embedding spaces" of sufficiently large dimension.