Perfect forms and the moduli space of abelian varieties
arXiv:math/0502362 · doi:10.1007/s00222-005-0453-0
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.
20 pages
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