Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/49710
 Title: Theta-duality on Prym varieties and a Torelli Theorem Author: Lahoz Vilalta, MartíNaranjo del Val, Juan Carlos Keywords: Varietats abelianesCorbesGeometria algebraicaAbelian varietiesCurvesAlgebraic geometry Issue Date: 9-Jan-2013 Publisher: American Mathematical Society (AMS) Abstract: Let $\pi : \widetilde C \to C$ 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. Note: Reproducció del document publicat a: http://dx.doi.org/10.1090/S0002-9947-2013-05675-9 It is part of: Transactions of the American Mathematical Society, 2013 Related resource: http://dx.doi.org/10.1090/S0002-9947-2013-05675-9 URI: http://hdl.handle.net/2445/49710 ISSN: 0002-9947 Appears in Collections: Articles publicats en revistes (Matemàtiques i Informàtica)

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