hal.structure.identifier	Institut de Mathématiques de Bordeaux [IMB]
hal.structure.identifier	Centre National de la Recherche Scientifique [CNRS]
dc.contributor.author	BRUNEBARBE, Yohan
dc.date.accessioned	2024-04-04T02:32:24Z
dc.date.available	2024-04-04T02:32:24Z
dc.date.issued	2023-05-16
dc.identifier.uri	https://oskar-bordeaux.fr/handle/20.500.12278/190382
dc.description.abstractEn	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.
dc.language.iso	en
dc.title.en	The relative Green-Griffiths-Lang conjecture for families of varieties of maximal Albanese dimension
dc.type	Document de travail - Pré-publication
dc.subject.hal	Mathématiques [math]
dc.identifier.arxiv	2305.09613
bordeaux.hal.laboratories	Institut de Mathématiques de Bordeaux (IMB) - UMR 5251	*
bordeaux.institution	Université de Bordeaux
bordeaux.institution	Bordeaux INP
bordeaux.institution	CNRS
hal.identifier	hal-04301937
hal.version	1
hal.origin.link	https://hal.archives-ouvertes.fr//hal-04301937v1
bordeaux.COinS	ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2023-05-16&rft.au=BRUNEBARBE,%20Yohan&rft.genre=preprint

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