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arXiv · 1610.09832

Generic positivity and applications to hyperbolicity of moduli spaces

Benoît Claudon·Stefan Kebekus·Behrouz Taji
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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 .

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Benoît Claudon, Stefan Kebekus, Behrouz Taji. 2016-10-31. Generic positivity and applications to hyperbolicity of moduli spaces. https://arxiv.org/abs/1610.09832

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