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The relative Green-Griffiths-Lang conjecture for families of varieties of maximal Albanese dimension (2305.09613v1)
Published 16 May 2023 in math.AG and math.CV
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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