Title:
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Theta-duality on Prym varieties and a Torelli Theorem
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Author:
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Lahoz Vilalta, Martí; Naranjo del Val, Juan Carlos
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Other authors:
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Universitat de Barcelona |
Abstract:
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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. |
Subject(s):
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-Varietats abelianes -Corbes -Geometria algebraica -Abelian varieties -Curves -Algebraic geometry |
Rights:
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(c) American Mathematical Society (AMS), 2013
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Document type:
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Article Article - Published version |
Published by:
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American Mathematical Society (AMS)
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