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Pentes en cohomologie rigide et F-isocristaux unipotents

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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.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Padova, via Belzoni 7, 35100 Padova, Italia. E-mail: chiarbru@math.unipd.it, , , , , , IT

    Bruno Chiarellotto

  2. IRMAR, Université de Rennes 1, Campus de Beaulieu, 35042 Rennes Cedex, France. E-mail: lestum@univ-rennes1.fr, , , , , , FR

    Bernard Le Stum

Authors
  1. Bruno Chiarellotto
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  2. Bernard Le Stum
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Received: 23 December 1998 / Revised version: 5 July 1999

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Chiarellotto, B., Le Stum, B. Pentes en cohomologie rigide et F-isocristaux unipotents. manuscripta math. 100, 455–468 (1999). https://doi.org/10.1007/s002290050212

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  • DOI: https://doi.org/10.1007/s002290050212

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