Holomorphic Morse inequalities and the Green-Griffiths-Lang conjecture
Algebraic Geometry
2010-11-30 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1011.3636,
title = {Holomorphic Morse inequalities and the Green-Griffiths-Lang conjecture},
author = {Jean-Pierre Demailly},
journal= {arXiv preprint arXiv:1011.3636},
year = {2010}
}
Comments
38 pages, dedicated to the memory of Eckart Viehweg