English

A Prym variety with everywhere good reduction over $\mathbb{Q}(\sqrt{61})$

Number Theory 2020-10-06 v2

Abstract

We compute an equation for a modular abelian surface AA that has everywhere good reduction over the quadratic field K=Q(61)K = \mathbb{Q}(\sqrt{61}) and that does not admit a principal polarization over KK.

Keywords

Cite

@article{arxiv.1908.00421,
  title  = {A Prym variety with everywhere good reduction over $\mathbb{Q}(\sqrt{61})$},
  author = {Nicolas Mascot and Jeroen Sijsling and John Voight},
  journal= {arXiv preprint arXiv:1908.00421},
  year   = {2020}
}

Comments

20 pages, minor revisions

R2 v1 2026-06-23T10:37:21.482Z