The universal abelian variety over A_5
Algebraic Geometry
2016-07-25 v2
Abstract
We establish a structure result for the universal abelian variety over the moduli space A_5, in terms of discriminant curves of conic bundles over a del Pezzo surface. In particular, this gives a very simple unirational parametrization of the boundary divisor of the moduli space A_6 of principally polarized abelian varieties of dimension 6. Using this we derive a lower bound on the slope of all effective divisors on A_6.
Cite
@article{arxiv.1402.0539,
title = {The universal abelian variety over A_5},
author = {Gavril Farkas and Alessandro Verra},
journal= {arXiv preprint arXiv:1402.0539},
year = {2016}
}
Comments
20 pages. Final version, to appear in Annales Scient. de l'ENS