Descent via isogeny in dimension 2
A technique of descent via 4-isogeny is developed on the Jacobian of a curve of genus 2 of the form: $Y^2 = q_1(X)q_2(X)q_3(X)$, where each $q_i(X)$ is a quadratic defined over Q. The technique offers a realistic prospect of calculating rank tables of Mordell-Weil groups in higher dimension. A selec...
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| Format: | Journal article |
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1994
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| _version_ | 1797092720655728640 |
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| author | Flynn, E |
| author_facet | Flynn, E |
| author_sort | Flynn, E |
| collection | OXFORD |
| description | A technique of descent via 4-isogeny is developed on the Jacobian of a curve of genus 2 of the form: $Y^2 = q_1(X)q_2(X)q_3(X)$, where each $q_i(X)$ 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. |
| first_indexed | 2024-03-07T03:50:02Z |
| format | Journal article |
| id | oxford-uuid:c0e823a8-7603-4c85-a7af-630445855fc6 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T03:50:02Z |
| publishDate | 1994 |
| record_format | dspace |
| spelling | oxford-uuid:c0e823a8-7603-4c85-a7af-630445855fc62022-03-27T05:57:44ZDescent via isogeny in dimension 2Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:c0e823a8-7603-4c85-a7af-630445855fc6Mathematical Institute - ePrints1994Flynn, EA technique of descent via 4-isogeny is developed on the Jacobian of a curve of genus 2 of the form: $Y^2 = q_1(X)q_2(X)q_3(X)$, where each $q_i(X)$ 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. |
| spellingShingle | Flynn, E Descent via isogeny in dimension 2 |
| title | Descent via isogeny in dimension 2 |
| title_full | Descent via isogeny in dimension 2 |
| title_fullStr | Descent via isogeny in dimension 2 |
| title_full_unstemmed | Descent via isogeny in dimension 2 |
| title_short | Descent via isogeny in dimension 2 |
| title_sort | descent via isogeny in dimension 2 |
| work_keys_str_mv | AT flynne descentviaisogenyindimension2 |