Skip to main content
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 6
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Mieda, Yoichi 2014. Variants of formal nearby cycles. Journal of the Institute of Mathematics of Jussieu, Vol. 13, Issue. 04, p. 701.

    Shen, Xu 2014. Cell decomposition of some unitary group Rapoport–Zink spaces. Mathematische Annalen, Vol. 360, Issue. 3-4, p. 825.

    Mieda, Y. 2006. On the action of the Weil group on the  -adic cohomology of rigid spaces over local fields. International Mathematics Research Notices,

    Orlik, Sascha 2005. The cohomology of period domains for reductive groups over local fields. Inventiones mathematicae, Vol. 162, Issue. 3, p. 523.

    Fargues, Laurent 2002. Une suite spectrale de Hochschild–Serre pour l'uniformisation de Rapoport–Zink. Comptes Rendus Mathematique, Vol. 334, Issue. 9, p. 739.

    Huber, R. 2001. Swan representations associated with rigid analytic curves. Journal für die reine und angewandte Mathematik (Crelles Journal), Vol. 2001, Issue. 537,


A comparison theorem for l-adic cohomology

  • R. HUBER (a1)
  • DOI:
  • Published online: 01 June 1998

We show that, for certain types of rigid analytic varieties X and constructible l-adic sheaves (F$_n$)$_n$ on, one has H$^p_c$ (X,(F$_n$)$_n$) ${\stackrel{\sim}{\longrightarrow}} {\displaystyle\lim_{\stackrel{\scriptstyle{\longleftarrow}} {\scriptstyle{n}}}}$ H$^p_c$ (X,F$_n$). As an application we obtain that, for an algebraic variety X and associated rigid analytic variety X$^rig$, the l-adic cohomology of X and X$^rig$ agree.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Compositio Mathematica
  • ISSN: 0010-437X
  • EISSN: 1570-5846
  • URL: /core/journals/compositio-mathematica
Please enter your name
Please enter a valid email address
Who would you like to send this to? *