A. Brumer

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math.NT2002

Semistable abelian varieties with small division fields

Armand Brumer, Kenneth Kramer

Let $A$ be a semistable abelian variety defined over $Q$ with bad reduction only at one prime $p$ . Let $L = Q (A [ℓ])$ be the $ℓ$ -division field of $A$ for a prime $…

math.NT2000

Non-existence of certain semistable abelian varieties

Armand Brumer, Kenneth Kramer

We show that there do not exist semistable varietes defined over the rationals with good reduction outside one prime p if p = 2, 3, 5 or 7.