Curvature of vector bundles associated to holomorphic fibrations(II)
发布时间：2013年12月11日
浏览次数：9011
发布者:
主讲人： Xiao Jia(Peking University)
活动时间： 从 2013-12-11 00:00 到 00:00
场地： Room 82J04, Jia Yi Bing Building, 82 Jing Chun Yuan, BICMR
Speaker: Xiao Jia(Peking University)
Venue: 82J04, BICMR
Time: December 11, Wednesday, 10:10am --12:00am
Abstract: In this talk, we will talk about a paper by Bo Berndtsson.(Annals of Mathematics,169(2009),531-560)Let L be a positive line bundle over a Kahler manifold, X, fibered over a complex manifold Y. Assuming the fibers are compact and nonsigular, he proved that the Hermitian vector bundle E over Y whose fibers over y are the spaces of global sections over X_y to L\otimes\K_{X/Y}, endowed with the L^2-metric, is positive in the sense of Nakano. We will go over his proof.
