Flynn, E. V. (1993) *The group law on the jacobian of a curve of genus 2.* Journal für die reine und angewandte Mathematik, 439 . pp. 45-69. ISSN 0075-4102

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## Abstract

An explicit description is given of the group law on the Jacobian of a curve C of genus 2. The Kummer surface provides a useful intermediary stage; bilinear forms relating to the Kummer surface imply that the global group law may be given projectively by biquadratic forms defined over the same ring as the coefficients of C. It is not assumed that C has a rational Weierstrass point, and the theory presented applies over an arbitrary ground field.

Item Type: | Article |
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Uncontrolled Keywords: | Group law; Jacobian; Kummer surface. |

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

Research Groups: | Number Theory Group |

ID Code: | 271 |

Deposited By: | E. Victor Flynn |

Deposited On: | 12 Jul 2006 |

Last Modified: | 20 Jul 2009 14:19 |

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