Higher dimensional tautological inequalities and applications
Algebraic Geometry
2011-03-31 v2
Abstract
We study the degeneracy of holomorphic mappings tangent to holomorphic foliations on projective manifolds. Using Ahlfors currents in higher dimension, we obtain several strong degeneracy statements.
Keywords
Cite
@article{arxiv.1006.5138,
title = {Higher dimensional tautological inequalities and applications},
author = {Carlo Gasbarri and Gianluca Pacienza and Erwan Rousseau},
journal= {arXiv preprint arXiv:1006.5138},
year = {2011}
}
Comments
28 pages; v2: algebraic degeneracy in the strong sense is obtained in several statements. We state a generalized Green-Griffiths-Lang conjecture and study it in dimension 3