Generic positivity and applications to hyperbolicity of moduli spaces
Algebraic Geometry
2016-11-01 v1
Abstract
The proof of the celebrated Viehweg's hyperbolicity conjecture is a consequence of two remarkable results: Viehweg and Zuo's existence results for global pluri-differential forms induced by variation in a family of canonically po-larised manifolds and Campana and P\v{a}un's vast generalisation of Miyaoka's generic semipositivity result for non-uniruled varieties to the context of pairs. The aim of this chapter is an exposition of Campana-P\v{a}un's generic semipositivity theorem .
Keywords
Cite
@article{arxiv.1610.09832,
title = {Generic positivity and applications to hyperbolicity of moduli spaces},
author = {Benoît Claudon and Stefan Kebekus and Behrouz Taji},
journal= {arXiv preprint arXiv:1610.09832},
year = {2016}
}
Comments
30 pages. To appear as a chapter of a book about complex hyperbolicity