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arXiv · 2305.09613

The relative Green-Griffiths-Lang conjecture for families of varieties of maximal Albanese dimension

Yohan Brunebarbe
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Abstract

We propose a generalization of the Green-Griffiths-Lang conjecture to the relative setting and prove that a strong form of it holds for families of varieties of maximal Albanese dimension. A key step of the proof consists in a truncated second main theorem type estimate in Nevanlinna theory for families of abelian varieties.

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Yohan Brunebarbe. 2023-05-16. The relative Green-Griffiths-Lang conjecture for families of varieties of maximal Albanese dimension. https://arxiv.org/abs/2305.09613

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