Generic positivity and applications to hyperbolicity of moduli spaces
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 .
- Publication:
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arXiv e-prints
- Pub Date:
- October 2016
- DOI:
- 10.48550/arXiv.1610.09832
- arXiv:
- arXiv:1610.09832
- Bibcode:
- 2016arXiv161009832C
- Keywords:
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- Mathematics - Algebraic Geometry
- E-Print:
- 30 pages. To appear as a chapter of a book about complex hyperbolicity