The Gras conjecture in function fields by Euler systems
Number Theory
2014-02-26 v1
Abstract
We use Euler systems to prove the Gras conjecture for groups generated by Stark units in global function fields. The techniques applied here are classical and go back to Thaine, Kolyvagin and Rubin. We obtain our Euler systems from the torsion points of sign-normalized Drinfel'd modules.
Cite
@article{arxiv.1102.0617,
title = {The Gras conjecture in function fields by Euler systems},
author = {Hassan Oukhaba and Stéphane Viguié},
journal= {arXiv preprint arXiv:1102.0617},
year = {2014}
}
Comments
accepted for publication in the Bulletin of the London Mathematical Society