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arXiv · 2609.32065

Recovering curves from isogeny classes of Prym varieties

José Felipe Voloch
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Abstract

We propose a conjecture on how to recover an algebraic curve from the isogeny classes of its Prym varieties. Motivated by this conjecture, we analyze constructions of pairs of curves with isogenous Jacobians and several isogenous Pryms.

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José Felipe Voloch. 2026-09-25. Recovering curves from isogeny classes of Prym varieties. https://arxiv.org/abs/2609.32065

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