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F-isocristaux unipotents

Published online by Cambridge University Press:  04 December 2007

BRUNO CHIARELLOTTO  and
BERNARD LE STUM
BRUNO CHIARELLOTTO
Affiliation:
Dipartimento di Matematica Pura ed Applicata, Universitá degli Studi di Padova, Via Belzoni 7, 35131 Padova, Italy; e-mail: [email protected]
BERNARD LE STUM
Affiliation:
Dipartimento di Matematica Pura ed Applicata, Universitá degli Studi di Padova, Via Belzoni 7, 35131 Padova, Italy; e-mail: [email protected]
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Abstract

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We show that unipotent overconvergent isocrystals are algebraic and that the category of unipotent overconvergent isocrystals has a Frobenius automorphism. We also prove a structure theorem for unipotent overconvergent F-isocrystals over an open subset of the line, analogous to Dieudonné–Manin decomposition theorem for F-isocrystals.

Keywords

isocrystalFrobeniusunipotentslope.
Type
Research Article
Information
Compositio Mathematica , Volume 116 , Issue 1 , March 1999 , pp. 81 - 110
Copyright
© 1999 Kluwer Academic Publishers