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Bibliographic Metadata

  • Title
    On p-adic comparison theorems for rigid analytic varieties, I
  • Author
    Colmez, Pierre ; Nizioł, Wiesława
  • Honoured person
    Deninger, Christopher
  • Is part of
    Münster Journal of Mathematics, Issue Münster Journal of Mathematics, page 445-507
  • Published
    2020
  • Annotation
    This research was partially supported by the project ANR-14-CE25 and the NSF grant No. DMS-1440140.
  • Language
    English
  • Document type
    Journal Article
  • URN
    urn:nbn:de:hbz:6-90169648964 
  • DOI
    10.17879/90169648511 
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  •  The document is publicly available on the WWW
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Abstract
  • We compute, in a stable range, the arithmetic p-adic ´etale cohomology of smooth rigid analytic and dagger varieties (without any assumption on the existence of a nice integral model) in terms of differential forms using syntomic methods. The main technical input is a construction of a Hyodo–Kato cohomology and a Hyodo–Kato isomorphism with de Rham cohomology.
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