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On a theorem of Coleman

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Abstract

A simplified method of descent via isogeny is given for Jacobians of curves of genus 2. This method is then used to give applications of a theorem of Coleman for computing all the rational points on certain curves of genus 2.

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Authors and Affiliations

  1. Department of Pure Mathematics, University of Liverpool, P.O. Box 147, L69 3BX, Liverpool, England

    E. V. Flynn

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  1. E. V. Flynn
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Flynn, E.V. On a theorem of Coleman. Manuscripta Math 88, 447–456 (1995). https://doi.org/10.1007/BF02567833

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  • DOI: https://doi.org/10.1007/BF02567833

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