Theta-duality on Prym varieties and a Torelli Theorem
Algebraic Geometry
2011-08-01 v2
Abstract
Let p:C' -> C be an unramified double covering of irreducible smooth curves and let P be the attached Prym variety. We prove the schematic theta-dual equalities in the Prym variety T(C')=V^2 and T(V^2)=C', where V^2 is the Brill-Noether locus of P associated to p considered by Welters. As an application we prove a Torelli Theorem analogous to the fact that the g-th symmetric product of a curve D of genus g determines the curve.
Keywords
Cite
@article{arxiv.1010.0398,
title = {Theta-duality on Prym varieties and a Torelli Theorem},
author = {Martí Lahoz and Juan Carlos Naranjo},
journal= {arXiv preprint arXiv:1010.0398},
year = {2011}
}
Comments
Final version to appear in Trans. Amer. Math. Soc