Generic positivity and applications to hyperbolicity of moduli spaces

2016/10/31 by Benoît Claudon, Claudon, Benoît, Stefan Kebekus +3 · 6 citations
Mathematics · #Algebraic Geometry and Number Theory #Mathematical Dynamics and Fractals #Geometric Analysis and Curvature Flows

paper · pdf · doi:10.48550/arxiv.1610.09832

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 Pǎun'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-Pǎun's generic semipositivity theorem .

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