PreprintCC BY 4.0arXiv
Recovering curves from isogeny classes of Prym varieties
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.
Related
- Prym--Tyurin varieties coming from intermediate coverings of curves
- Frobenius Alexander quandles, knot colorings, and isogeny classes of abelian varieties over finite fields
- Hodge integrals on admissible covers and tautological projections of Prym classes
- Theta-duality and Prym-Torelli for cyclic covers of hyperelliptic curves
- Models of Elliptic Curves with Maximal 2-adic Image Subject to a Rational 2-Isogeny
BibTeX
@misc{voloch2026recovering,
title = {{Recovering curves from isogeny classes of Prym varieties}},
author = {José Felipe Voloch},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.32065},
eprint = {2609.32065},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.32065},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Recovering curves from isogeny classes of Prym varieties
AU - José Felipe Voloch
PY - 2026
DA - 2026/09/25
PB - arXiv
DO - 10.48550/arxiv.2609.32065
UR - https://arxiv.org/abs/2609.32065
AB - 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.
ER -