The Gras conjecture in function fields by Euler systems

Details The Gras conjecture in function fields by Euler systems The Gras conjecture in function fields by Euler systems

2011-02-03

arxiv.org/abs/1102.0617v1

Mathematics

Number Theory

accepted for publication in the Bulletin of the London Mathematical Society

Scientific paper

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.

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