Semistable Abelian Varieties over Z [ 1 6 ] and Z [ 1 10 ]
نویسنده
چکیده
We prove there do not exist any non-zero semistable Abelian varieties over Z[16 ] or over Z[ 1 10 ]. Our results are contingent on the GRH discriminant bounds of Odlyzko. Combined with recent results of Brumer–Kramer and of Schoof, this result is best possible: it shows that semistable Abelian varieties over Z[1/N ], where N is squarefree, exist precisely for N / ∈ {1, 2, 3, 5, 6, 7, 10, 13}.
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تاریخ انتشار 2001