A Compactification of the Moduli Scheme of Abelian Varieties
نویسنده
چکیده
We construct a canonical compactification SQ g,K of the moduli of abelian varieties over Z[ζN , 1/N ] where ζN is a primitive Nth root of unity. It is very similar to, but slightly different from the compactification SQg,K in [N99]. Any degenerate abelian scheme on the boundary of SQ g,K is one of the (torically) stable quasi-abelian schemes introduced in [AN99], which is reduced and singular. In contrast with it, some of degenerate abelian schemes on the boundary of SQg,K are nonreduced schemes.
منابع مشابه
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