### Semistable Abelian Varieties over Z[1/6] and Z[1/10]., by Frank Calegari

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.

Frank Calegari <fcale@math.berkeley.edu>