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Coleman integration using the Tannakian formalism

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Abstract.

We use a new idea to construct a theory of iterated Coleman functions on overconvergent spaces with good reduction in any dimension. A Coleman function in this theory consists of a unipotent differential equation, a functional on the underlying bundle and a solution to the equation on a residue class. The new idea is to use the theory of Tannakian categories and the action of Frobenius to analytically continue solutions of the differential equation to all residue classes.

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Authors and Affiliations

  1. Department of Mathematics, Ben-Gurion University of the Negev, P.O.B. 653, Be'er-Sheva 84105, Israel (e-mail: bessera@math.bgu.ac.il), , , , , , IL

    Amnon Besser

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  1. Amnon Besser
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Received: 22 November 2000 / Revised version: 28 March 2001 / Published online: 24 September 2001

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Besser, A. Coleman integration using the Tannakian formalism. Math Ann 322, 19–48 (2002). https://doi.org/10.1007/s002080100263

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  • DOI: https://doi.org/10.1007/s002080100263

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