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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/49710
Theta-duality on Prym varieties and a Torelli Theorem
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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.
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LAHOZ VILALTA, Martí and NARANJO DEL VAL, Juan Carlos. Theta-duality on Prym varieties and a Torelli Theorem. Transactions of the American Mathematical Society. 2013. ISSN 0002-9947. [consulted: 17 of June of 2026]. Available at: https://hdl.handle.net/2445/49710