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DENINGER'S CONJECTURES AND WEIL-ARAKELOV COHOMOLOGY

hal.structure.identifierCalifornia Institute of Technology [CALTECH]
dc.contributor.authorFLACH, M
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorMORIN, Baptiste
dc.date.accessioned2024-04-04T02:58:21Z
dc.date.available2024-04-04T02:58:21Z
dc.date.issued2020
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/192651
dc.description.abstractEnWe conjecture the existence of a long exact sequence relating Deninger's conjectural cohomology to Weil-Arakelov cohomology, the latter being unconditionally defined. We prove this conjecture for smooth projective varieties over finite fields whose Weil-étale motivic cohomology groups are finitely generated. Then we explain the consequences that such an exact sequence would have.
dc.description.sponsorshipEtude cohomologique des varietes algebriques - ANR-15-CE40-0002
dc.language.isoen
dc.title.enDENINGER'S CONJECTURES AND WEIL-ARAKELOV COHOMOLOGY
dc.typeArticle de revue
dc.identifier.doi10.17879/90169642993
dc.subject.halMathématiques [math]
dc.subject.halMathématiques [math]/Géométrie algébrique [math.AG]
dc.subject.halMathématiques [math]/Théorie des nombres [math.NT]
bordeaux.journalMünster Journal of Mathematics
bordeaux.page519–540
bordeaux.volume13
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue2
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-02407608
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-02407608v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=M%C3%BCnster%20Journal%20of%20Mathematics&rft.date=2020&rft.volume=13&rft.issue=2&rft.spage=519%E2%80%93540&rft.epage=519%E2%80%93540&rft.au=FLACH,%20M&MORIN,%20Baptiste&rft.genre=article


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