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Counting integral points of bounded height on varieties with large fundamental group

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorBRUNEBARBE, Yohan
hal.structure.identifierInstitut de Mathématiques de Jussieu - Paris Rive Gauche [IMJ-PRG (UMR_7586)]
dc.contributor.authorMACULAN, Marco
dc.date.accessioned2024-04-04T02:38:36Z
dc.date.available2024-04-04T02:38:36Z
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190891
dc.description.abstractEnThe present note is devoted to an amendment to a recent paper of Ellenberg, Lawrence and Venkatesh. Roughly speaking, the main result here states the subpolynomial growth of the number of integral points with bounded height of a variety over a number field whose fundamental group is large. Such an improvement, i.e. requiring large fundamental group as opposed to the existence of a geometric variation of pure Hodge structures, was already asked in op.cit..
dc.language.isoen
dc.title.enCounting integral points of bounded height on varieties with large fundamental group
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]
dc.identifier.arxiv2205.05436
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-03863899
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-03863899v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=BRUNEBARBE,%20Yohan&MACULAN,%20Marco&rft.genre=preprint


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