On the Prym variety of genus 3 covers of genus 1 curves

Given a generic degree-2 cover of a genus 1 curve D by a non hyperelliptic genus 3 curve C over a field k of characteristic different from 2, we produce an explicit genus 2 curve X such that Jac(C) is isogenous to the product of Jac(D) and Jac(X). This construction can be seen as a degenerate case o...

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Бібліографічні деталі
Автори: Christophe Ritzenthaler, Matthieu Romagny
Формат: Стаття
Мова:English
Опубліковано: Association Epiga 2018-03-01
Серія:Épijournal de Géométrie Algébrique
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Онлайн доступ:https://epiga.episciences.org/3663/pdf