Rationally connected varieties -On a conjecture of Mumford  

作　　者：LAZIC Vladimir PETERNELL Thomas 

机构地区：[1]Mathematisches Institut, Universitat Bonn, Bonn 53115, Germany [2]Mathematisches Institut, Universitat Bayreuth, Bayreuth 95440, Germany

出　　处：《Science China Mathematics》2017年第6期1019-1028,共10页中国科学：数学（英文版）

基　　金：Lazi was supported by the DFG-Emmy-Noether-Nachwuchsgruppe“Gute Strukturen in der h¨oherdimensionalen birationalen Geometrie”;Peternell was supported by the DFG grant“Zur Positivit¨at in der komplexen Geometrie”

摘　　要：We establish a conjecture of Mumford characterizing rationally connected complex projective manifolds in several cases.We establish a conjecture of Mumford characterizing rationally connected complex projective man- ifolds in several cases.

关 键 词：rationally connected varieties Mumford conjecture non vanishing conjecture ABUNDANCE 

分 类 号：N[自然科学总论]