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Bibliographic Metadata

  • Title
    Overconvergent de Rham–Witt cohomology for semi-stable varieties
  • Author
    Gregory, Oliver ; Langer, Andreas
  • Honoured person
    Deninger, Christopher
  • Is part of
    Münster Journal of Mathematics, Issue Münster Journal of Mathematics, page 541-571
  • Published
    2020
  • Language
    English
  • Document type
    Journal Article
  • URN
    urn:nbn:de:hbz:6-90169635796 
  • DOI
    10.17879/90169635144 
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  •  The document is publicly available on the WWW
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Abstract
  • We define an overconvergent version of the Hyodo–Kato complex for semi-stable varieties Y over perfect fields of positive characteristic, and prove that its hypercohomology tensored with Q recovers the log-rigid cohomology when Y is quasi-projective. We then describe the monodromy operator using the overconvergent Hyodo–Kato complex. Finally, we show that overconvergent Hyodo–Kato cohomology agrees with log-crystalline cohomology in the projective semi-stable case.
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