%0 Journal Article
%T Holomorphic Morse inequalities and the Green-Griffiths-Lang conjecture
%A Jean-Pierre Demailly
%J Mathematics
%D 2010
%I arXiv
%X The goal of this work is to study the existence and properties of non constant entire curves f drawn in a complex irreducible n-dimensional variety X, and more specifically to show that they must satisfy certain global algebraic or differential equations as soon as X is projective of general type. By means of holomorphic Morse inequalities and a probabilistic analysis of the cohomology of jet spaces, we are able to reach a significant step towards a generalized version of the Green-Griffiths-Lang conjecture.
%U http://arxiv.org/abs/1011.3636v2