Flynn, E. V. and Smart, N. P. (1997) *Canonical heights on the jacobians of curves of genus 2 and the infinite descent.* Acta Arithmetica, LXXIX (4). pp. 333-352. ISSN 0065-1036

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## Abstract

We give an algorithm to compute the canonical height on a Jacobian of a curve of genus 2. The computations involve only working with the Kummer surface and so lengthy computations with divisors in the Jacobian are avoided. We use this height algorithm to give an algorithm to perform the infinite descent stage of computing the Mordell-Weil group. This last stage is performed by a lattice enlarging procedure.

Item Type: | Article |
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Uncontrolled Keywords: | Canonical height; Jacobian; Kummer surface. |

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

Research Groups: | Number Theory Group |

ID Code: | 264 |

Deposited By: | E. Victor Flynn |

Deposited On: | 12 Jul 2006 |

Last Modified: | 20 Jul 2009 14:19 |

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