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Pré-Publication, Document De Travail Année : 2016

Generic positivity and applications to hyperbolicity of moduli spaces

Résumé

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˘ aun'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˘ aun's generic semipositivity theorem .
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Dates et versions

hal-01389525 , version 1 (28-10-2016)

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Benoît Claudon, Stefan Kebekus, Behrouz Taji. Generic positivity and applications to hyperbolicity of moduli spaces. 2016. ⟨hal-01389525⟩
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