The Gras conjecture in function fields by Euler systems

Autor:	Oukhaba, Hassan, Viguié, Stéphane
Rok vydání:	2011
Předmět:	Mathematics - Number Theory 11R58 (Primary) 11G09 (Secondary)
Zdroj:	Bulletin of the London Mathematical Society, volume 43 no.3, pp. 523-535 (2011)
Druh dokumentu:	Working Paper
DOI:	10.1112/blms/bdq119
Popis:	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. Comment: accepted for publication in the Bulletin of the London Mathematical Society
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1102.0617 Zobrazit plný text záznamu View this record from Arxiv