Flynn, E. V. (1994) *Descent via isogeny in dimension 2.* Acta Arithmetica, LXVI (1). pp. 23-43. ISSN 0065-1036

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## Abstract

A technique of descent via 4-isogeny is developed on the Jacobian of a curve of genus 2 of the form: , where each is a quadratic defined over Q. The technique offers a realistic prospect of calculating rank tables of Mordell-Weil groups in higher dimension. A selection of worked examples is included as illustration.

Item Type: | Article |
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Uncontrolled Keywords: | Descent via isogeny; ranks; Mordell-Weil group. |

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

Research Groups: | Number Theory Group |

ID Code: | 270 |

Deposited By: | E. Victor Flynn |

Deposited On: | 12 Jul 2006 |

Last Modified: | 20 Jul 2009 14:19 |

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