Relative Chow-Kunneth decompositions for conic bundles and Prym varieties
Algebraic Geometry
2009-04-08 v2
Abstract
We construct a relative Chow-Kunneth decomposition for a conic bundle over a surface such that the middle projector gives the Prym variety of the associated double covering of the discriminant of the conic bundle. This gives a refinement (up to an isogeny) of Beauville's theorem on the relation between the intermediate Jacobian of the conic bundle and the Prym variety of the double covering.
Keywords
Cite
@article{arxiv.0806.1507,
title = {Relative Chow-Kunneth decompositions for conic bundles and Prym varieties},
author = {Jan Nagel and Morihiko Saito},
journal= {arXiv preprint arXiv:0806.1507},
year = {2009}
}
Comments
19 pages, to appear in IMRN