F-isocristaux unipotents |
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| Authors: | Bruno Chiarellotto Bernard Le Stum |
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| Institution: | (1) Dipartimento di Matematica Pura ed Applicata, Universitá degli Studi di Padova, Via Belzoni 7, 35131 Padova, Italy; e-mail;(2) Université de Rennes I, Campus de Beaulieu, 35042 Rennes Cedex, France; e-mail |
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| Abstract: | 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. |
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| Keywords: | isocrystal Frobenius unipotent slope |
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