Perfect forms and the moduli space of abelian varieties

Details Perfect forms and the moduli space of abelian varieties Perfect forms and the moduli space of abelian varieties

2005-02-16

arxiv.org/abs/math/0502362v1

Mathematics

Algebraic Geometry

20 pages

Scientific paper

10.1007/s00222-005-0453-0

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.

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