Structure theorems for compact Kähler manifolds with nef first Chern class
主 题: Structure theorems for compact Kähler manifolds with nef first Chern class
报告人: Jean-Pierre Demailly (Université Joseph Fourier, Institut Fourier)
时 间: 2015-04-17 10:00 - 11:00
地 点: Room 77201 at #78 courtyard, Jingchunyuan Garden, BICMR
An important goal in the theory of algebraic or compact K?hler manifolds is to obtain some sort of classification based on the positive,negative and zero directions in the curvature of the canonical bundle. We will describe here a precise classification theorem for the case when the anticanonical bundle is semipositive.We will also discuss related results when the the latter is merely supposed to be nef, using properties of the Harder-Narasimhan filtration of the tangent bundle.