Mathematics – Number Theory
Scientific paper
2008-10-17
Mathematics
Number Theory
10 pages
Scientific paper
We derive asymptotically optimal upper bounds on the number of L-rational torsion points on a given elliptic curve or Drinfeld module defined over a finitely generated field K, as a function of the degree [L:K]. Our main tool is the adelic openness of the image of Galois representations attached to elliptic curves and Drinfeld modules, due to Serre and Pink-Ruetsche, respectively. Our approach is to prove a general result for certain Galois modules, which applies simultaneously to elliptic curves and to Drinfeld modules.
No associations
LandOfFree
Torsion bounds for elliptic curves and Drinfeld modules 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 Torsion bounds for elliptic curves and Drinfeld modules, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Torsion bounds for elliptic curves and Drinfeld modules will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-352407