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  • Title
    Deninger’s conjectures and Weil–Arakelov cohomology
  • Author
    Flach, Matthias ; Morin, Baptiste
  • Honoured person
    Deninger, Christopher
  • Is part of
    Münster Journal of Mathematics, Issue Münster Journal of Mathematics, page 519-540
  • Published
    2020
  • Language
    English
  • Document type
    Journal Article
  • URN
    urn:nbn:de:hbz:6-90169643343 
  • DOI
    10.17879/90169642993 
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  •  The document is publicly available on the WWW
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Abstract
  • We 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.
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