Skeletons of Prym varieties and Brill--Noether theory Len, Yoav Ulirsch, Martin 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. 2019 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_6501 https://ris.uni-paderborn.de/record/66326 Len Y, Ulirsch M. Skeletons of Prym varieties and Brill--Noether theory. <i>arXiv:190209410</i>. Published online 2019. eng info:eu-repo/semantics/altIdentifier/arxiv/1902.09410 info:eu-repo/semantics/closedAccess