Flynn, E. V. (1997) *A flexible method for applying Chabauty's Theorem.* Compositio Mathematica, 105 . pp. 79-94. ISSN 0010-437X

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## Abstract

A strategy is proposed for applying Chabauty's Theorem to hyperelliptic curves of genus>1. In the genus 2 case, it shown how recent developments on the formal group of the Jacobian can be used to give a flexible and computationally viable method for applying this strategy. The details are described for a general curve of genus 2, and are then applied to find C(Q) for a selection of curves. A fringe benefit is a more explicit proof of a result of Coleman.

Item Type: | Article |
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Uncontrolled Keywords: | Chabauty's Theorem; hyperelliptic curves. |

Subjects: | A - C > Algebraic geometry H - N > Number theory |

Research Groups: | Number Theory Group |

ID Code: | 265 |

Deposited By: | E. Victor Flynn |

Deposited On: | 12 Jul 2006 |

Last Modified: | 20 Jul 2009 14:19 |

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