{"type":"journal_article","date_created":"2026-07-08T06:51:20Z","external_id":{"arxiv":["1902.09410"]},"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."}],"citation":{"apa":"Len, Y., &#38; Ulirsch, M. (2019). Skeletons of Prym varieties and Brill--Noether theory. <i>ArXiv:1902.09410</i>.","ieee":"Y. Len and M. Ulirsch, “Skeletons of Prym varieties and Brill--Noether theory,” <i>arXiv:1902.09410</i>, 2019.","short":"Y. Len, M. Ulirsch, ArXiv:1902.09410 (2019).","chicago":"Len, Yoav, and Martin 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.","ama":"Len Y, Ulirsch M. Skeletons of Prym varieties and Brill--Noether theory. <i>arXiv:190209410</i>. Published online 2019.","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} }"},"publication":"arXiv:1902.09410","user_id":"82981","language":[{"iso":"eng"}],"_id":"66326","date_updated":"2026-07-08T06:51:27Z","author":[{"full_name":"Len, Yoav","first_name":"Yoav","last_name":"Len"},{"id":"114697","full_name":"Ulirsch, Martin","last_name":"Ulirsch","first_name":"Martin"}],"year":"2019","title":"Skeletons of Prym varieties and Brill--Noether theory","status":"public"}