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arXiv · 1102.0617

The Gras conjecture in function fields by Euler systems

Hassan Oukhaba·Stéphane Viguié
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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.

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Hassan Oukhaba, Stéphane Viguié. 2011-02-03. The Gras conjecture in function fields by Euler systems. https://doi.org/10.1112/blms%2Fbdq119

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