article Yoav Len author Martin Ulirsch author 114697 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 eng 1902.09410 Len, Yoav, and Martin Ulirsch. “Skeletons of Prym Varieties and Brill--Noether Theory.” <i>ArXiv:1902.09410</i>, 2019. @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} } Len Y, Ulirsch M. Skeletons of Prym varieties and Brill--Noether theory. <i>arXiv:190209410</i>. Published online 2019. Y. Len and M. Ulirsch, “Skeletons of Prym varieties and Brill--Noether theory,” <i>arXiv:1902.09410</i>, 2019. Len, Y., &#38; Ulirsch, M. (2019). Skeletons of Prym varieties and Brill--Noether theory. <i>ArXiv:1902.09410</i>. Len, Yoav, and Martin Ulirsch. “Skeletons of Prym Varieties and Brill--Noether Theory.” <i>ArXiv:1902.09410</i>, 2019. Y. Len, M. Ulirsch, ArXiv:1902.09410 (2019). 663262026-07-08T06:51:20Z2026-07-08T06:51:27Z