The group law on the jacobian of a curve of genus 2

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...

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Autore principale: Flynn, E
Natura: Journal article
Pubblicazione: 1993
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author Flynn, E
author_facet Flynn, E
author_sort Flynn, E
collection OXFORD
description 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.
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spelling oxford-uuid:b3948028-34c3-445c-abfe-d093e5fd1d4b2022-03-27T04:20:15ZThe group law on the jacobian of a curve of genus 2Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:b3948028-34c3-445c-abfe-d093e5fd1d4bMathematical Institute - ePrints1993Flynn, EAn 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.
spellingShingle Flynn, E
The group law on the jacobian of a curve of genus 2
title The group law on the jacobian of a curve of genus 2
title_full The group law on the jacobian of a curve of genus 2
title_fullStr The group law on the jacobian of a curve of genus 2
title_full_unstemmed The group law on the jacobian of a curve of genus 2
title_short The group law on the jacobian of a curve of genus 2
title_sort group law on the jacobian of a curve of genus 2
work_keys_str_mv AT flynne thegrouplawonthejacobianofacurveofgenus2
AT flynne grouplawonthejacobianofacurveofgenus2