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

2023/05/16 by Brunebarbe, Yohan
#Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2305.09613

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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