- Abstract:
- 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.
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- Publication date:
- 1994
- URN:
-
uuid:c0e823a8-7603-4c85-a7af-630445855fc6
- Local pid:
- oai:eprints.maths.ox.ac.uk:270
- Copyright date:
- 1994
Journal article
Descent via isogeny in dimension 2
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