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manuscripta mathematica

, Volume 100, Issue 4, pp 455–468 | Cite as

Pentes en cohomologie rigide et F-isocristaux unipotents

  • Bruno Chiarellotto
  • Bernard Le Stum

Abstract:

We study the slopes of Frobenius on the rigid cohomology and the rigid cohomology with compact support of an algebraic variety over a perfect field of positive characteristic. We then prove that any unipotent overconvergent F-isocrystal on a smooth variety has a slope filtration whose graded parts are pure.

Mathematics Subject Classification (1991):14F30 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Bruno Chiarellotto
    • 1
  • Bernard Le Stum
    • 2
  1. 1.Dipartimento di Matematica, Università di Padova, via Belzoni 7, 35100 Padova, Italia. E-mail: chiarbru@math.unipd.itIT
  2. 2.IRMAR, Université de Rennes 1, Campus de Beaulieu, 35042 Rennes Cedex, France. E-mail: lestum@univ-rennes1.frFR

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