Semistable abelian varieties over Z[1/6] and Z[1/10]

Details Semistable abelian varieties over Z[1/6] and Z[1/10] Semistable abelian varieties over Z[1/6] and Z[1/10]

2001-03-03

arxiv.org/abs/math/0103240v1

Mathematics

Number Theory

Scientific paper

Continuing on from recent results of Brumer-Kramer and of Schoof, we show
that there exist non-zero semistable Abelian varieties over Z[1/N], with N
squarefree, if and only if N is not in the set {1,2,3,5,6,7,10,13}. Our results
are contingent on the GRH discriminant bounds of Odlyzko.

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