Abelian varieties over Q with bad reduction in one prime only

Details Abelian varieties over Q with bad reduction in one prime only Abelian varieties over Q with bad reduction in one prime only

2005-02-16

arxiv.org/abs/math/0502356v1

Mathematics

Number Theory

Scientific paper

Let l be a prime. We show that there do not exist any non-zero semi-stable abelian varieties over Q with good reduction outside l if and only if l=2, 3, 5, 7 or 13. We show that any semi-stable abelian variety over Q with good reduction outside l=11 is isogenous to a power of the Jacobian variety of the modular curve X_0(11). In addition we show that there do not exist any non-zero abelian varieties over Q with good reduction outside l acquiring semi-stable reduction at l over a tamely ramified extension if and only if l \le 5.

Affiliated with

Also associated with

No associations

Rating

Abelian varieties over Q with bad reduction in one prime only does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Abelian varieties over Q with bad reduction in one prime only, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Abelian varieties over Q with bad reduction in one prime only will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-84178