Work

Recovering curves from isogeny classes of Prym varieties

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.32065

Author: Voloch, José Felipe

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Brown University, Royal Society Te Apārangi, Marsden Fund

OpenAlex ID: W7214741860

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