Serre's uniformity problem in the split Cartan case

Details Serre's uniformity problem in the split Cartan case Serre's uniformity problem in the split Cartan case

2008-07-30

arxiv.org/abs/0807.4954v5

Mathematics

Number Theory

11 pages; Version 5; minor revision (a few bugs corrected, some references added)

Scientific paper

We prove that there exists an integer p_0 such that X_split(p)(Q) is made of cusps and CM-points for any prime p>p_0. Equivalently, for any non-CM elliptic curve E over Q and any prime p>p_0 the image of the Galois representation induced by the Galois action on the p-division points of E is not contained in the normalizer of a split Cartan subgroup. This gives a partial answer to an old question of Serre.

Affiliated with

Also associated with

No associations

Rating

Serre's uniformity problem in the split Cartan case 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 Serre's uniformity problem in the split Cartan case, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Serre's uniformity problem in the split Cartan case will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-362871