Mathematics – Number Theory
Scientific paper
2005-09-07
Mathematics
Number Theory
Scientific paper
Let E be an elliptic curve over the function field Q(t). Suppose that for every number field L\not=Q and every element tau\in L such that the specialization E_tau is smooth, the curve E_tau has a non-trivial torsion point over L. We show that E has a non-trivial torsion point over Q(t). This provides evidence in support of a question of Graber-Harris-Mazur-Starr on rational pseudo-sections of arithmetic surjective morphisms.
No associations
LandOfFree
On torsion sections of elliptic fibrations 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 On torsion sections of elliptic fibrations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On torsion sections of elliptic fibrations will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1810