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On the Prym variety of genus 3 covers of genus 1 curves
2018
Épijournal de Géométrie Algébrique
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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 of a result by Nils Bruin. Comment: Published version
doi:10.46298/epiga.2018.volume2.3663
fatcat:m32weoiaafco7fodqq3tqd6sja