---
_id: '66326'
abstract:
- lang: eng
  text: We show that the non-Archimedean skeleton of the Prym variety associated to
    an unramified double cover of an algebraic curve is naturally isomorphic (as a
    principally polarized tropical abelian variety) to the tropical Prym variety of
    the associated tropical double cover. This confirms a conjecture by Jensen and
    the first author. We prove a new upper bound on the dimension of the Prym-Brill-Noether
    locus for generic unramified double covers of curves with fixed even gonality
    on the base. Our methods also give a new proof of the classical Prym-Brill-Noether
    Theorem for generic unramified double covers that is originally due to Welters
    and Bertram.
author:
- first_name: Yoav
  full_name: Len, Yoav
  last_name: Len
- first_name: Martin
  full_name: Ulirsch, Martin
  id: '114697'
  last_name: Ulirsch
citation:
  ama: Len Y, Ulirsch M. Skeletons of Prym varieties and Brill--Noether theory. <i>arXiv:190209410</i>.
    Published online 2019.
  apa: Len, Y., &#38; Ulirsch, M. (2019). Skeletons of Prym varieties and Brill--Noether
    theory. <i>ArXiv:1902.09410</i>.
  bibtex: '@article{Len_Ulirsch_2019, title={Skeletons of Prym varieties and Brill--Noether
    theory}, journal={arXiv:1902.09410}, author={Len, Yoav and Ulirsch, Martin}, year={2019}
    }'
  chicago: Len, Yoav, and Martin Ulirsch. “Skeletons of Prym Varieties and Brill--Noether
    Theory.” <i>ArXiv:1902.09410</i>, 2019.
  ieee: Y. Len and M. Ulirsch, “Skeletons of Prym varieties and Brill--Noether theory,”
    <i>arXiv:1902.09410</i>, 2019.
  mla: Len, Yoav, and Martin Ulirsch. “Skeletons of Prym Varieties and Brill--Noether
    Theory.” <i>ArXiv:1902.09410</i>, 2019.
  short: Y. Len, M. Ulirsch, ArXiv:1902.09410 (2019).
date_created: 2026-07-08T06:51:20Z
date_updated: 2026-07-08T06:51:27Z
external_id:
  arxiv:
  - '1902.09410'
language:
- iso: eng
publication: arXiv:1902.09410
status: public
title: Skeletons of Prym varieties and Brill--Noether theory
type: journal_article
user_id: '82981'
year: '2019'
...