On the birational geometry of the universal Picard variety
Algebraic Geometry
2012-02-22 v7
Abstract
We compute the Kodaira dimension of the universal Picard variety P_{d,g} parameterizing line bundles of degree d on curves of genus g under the assumption that (d-g+1,2g-2)=1. We also give partial results for arbitrary degrees d and we investigate for which degrees the universal Picard varieties are birational.
Cite
@article{arxiv.1006.0722,
title = {On the birational geometry of the universal Picard variety},
author = {Gilberto Bini and Claudio Fontanari and Filippo Viviani},
journal= {arXiv preprint arXiv:1006.0722},
year = {2012}
}
Comments
34 pages, 1 figure, final version (to appear in IMRN)