Non-existence of certain semistable abelian varieties

2000/11/02 by Armand Brumer, Brumer, Armand, Kenneth Kramer +1 · 1 citation
Mathematics · #FOS: Mathematics #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.math/0011270

arxiv created 2000/11/02 · arxiv updated 2009/12/01

Abstract

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.

Cited by

• Torsion of elliptic curves over ℚ_p with good reduction in cyclotomic extensions

Related

• Semistable abelian Varieties over Q
• Semistable abelian varieties over Z[1/6] and Z[1/10]
• Semistable abelian varieties over ℚ with bad reduction at 19 only
• Abelian varieties over Q with bad reduction in one prime only
• Reduction of abelian varieties