# name
Theta-duality on Prym varieties and a Torelli Theorem

# metadata.dc.description.abstract[].value
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.

# metadata.dc.relation.ispartof[].value
Transactions of the American Mathematical Society, 2013

# metadata.dc.rights[].value
(c) American Mathematical Society (AMS), 2013

# metadata.dc.source[].value
Articles publicats en revistes (Matemàtiques i Informàtica)

# metadata.dc.title[].value
Theta-duality on Prym varieties and a Torelli Theorem