On a theorem of Coleman

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 of the rational points on certain curves of genus 2.

Bibliographic Details
Main Author: Flynn, E
Format: Journal article
Published: 1995
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author Flynn, E
author_facet Flynn, E
author_sort Flynn, E
collection OXFORD
description 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 of the rational points on certain curves of genus 2.
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institution University of Oxford
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spelling oxford-uuid:5b57f3d4-f851-46c3-8872-b3fb174593ef2022-03-26T17:21:26ZOn a theorem of ColemanJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:5b57f3d4-f851-46c3-8872-b3fb174593efMathematical Institute - ePrints1995Flynn, EA 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 of the rational points on certain curves of genus 2.
spellingShingle Flynn, E
On a theorem of Coleman
title On a theorem of Coleman
title_full On a theorem of Coleman
title_fullStr On a theorem of Coleman
title_full_unstemmed On a theorem of Coleman
title_short On a theorem of Coleman
title_sort on a theorem of coleman
work_keys_str_mv AT flynne onatheoremofcoleman