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...
| Autore principale: | |
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| Natura: | Journal article |
| Pubblicazione: |
1993
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| _version_ | 1826292078561198080 |
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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. |
| first_indexed | 2024-03-07T03:09:10Z |
| format | Journal article |
| id | oxford-uuid:b3948028-34c3-445c-abfe-d093e5fd1d4b |
| institution | University of Oxford |
| last_indexed | 2024-03-07T03:09:10Z |
| publishDate | 1993 |
| record_format | dspace |
| 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 |