Perfect forms and the moduli space of abelian varieties
Algebraic Geometry
2009-11-11 v1
Abstract
Perfect quadratic forms give a toroidal compactification of the moduli space of principally polarized abelian g-folds that is Q-factorial and whose ample classes are characterized, over any base. In characteristic zero it has canonical singularities if g is at least 5, and is the canonical model (in the sense of Mori and Reid) if g is at least 12.
Cite
@article{arxiv.math/0502362,
title = {Perfect forms and the moduli space of abelian varieties},
author = {N. I. Shepherd-Barron},
journal= {arXiv preprint arXiv:math/0502362},
year = {2009}
}
Comments
20 pages