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

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.

Semistable.dvi (83864 bytes) [2001 Mar 3]
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Frank Calegari <fcale@math.berkeley.edu>