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arXiv · 2410.03664

Families of Pairs of Genus 2 Curves with Isomorphic Unpolarized Jacobians

Raghda Abdellatif
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Abstract

We construct three families of pairs of genus 2 curves over a field K, whose Jacobians are isomorphic as unpolarized abelian varieties. Each family is parameterized by an open subset of the Projective line over K. Our construction is based on a remark in a paper by Howe. Later, we describe an obstruction to perusing the same technique over Q.

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Raghda Abdellatif. 2024-10-04. Families of Pairs of Genus 2 Curves with Isomorphic Unpolarized Jacobians. https://arxiv.org/abs/2410.03664

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