Lahoz Vilalta, MartíNaranjo del Val, Juan Carlos2014-02-112014-02-112013-01-090002-9947https://hdl.handle.net/2445/49710Let $\pi : \widetilde C \to C$ be an unramified double covering of irreducible smooth curves and let $P$ be the attached Prym variety. We prove the scheme-theoretic theta-dual equalities in the Prym variety $T(\widetilde C)=V^2$ and $T(V^2)=\widetilde C$, where $V^2$ is the Brill-Noether locus of $P$ associated to $\pi$ considered by Welters. As an application we prove a Torelli theorem analogous to the fact that the symmetric product $D^{(g)}$ of a curve $D$ of genus $g$ determines the curve.application/pdfeng(c) American Mathematical Society (AMS), 2013Varietats abelianesCorbesGeometria algebraicaAbelian varietiesCurvesAlgebraic geometryinfo:eu-repo/semantics/article5987302014-02-11info:eu-repo/semantics/openAccess