Nombres de Weil, sommes de Gauss et annulateurs Galoisiens

Autor:	Do, Thong Nguyen Quang, Nicolas, Vésale
Rok vydání:	2009
Předmět:	Mathematics - Number Theory
Druh dokumentu:	Working Paper
Popis:	For an abelian number field K containing a primitive p-th root of unity (p an odd prime) and satisfying certain technical conditions, we parametrize the Z_p[G(K/Q)]-annihilators of the "minus" part A_K^- of the p-class group by means of modules of Jacobi sums. Using a reflection theorem and Bloch-Kato's reciprocity law, we then determine the Fitting ideal of the "plus" part A_K^+ in terms of "twisted" Gauss sums.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0903.3749 Zobrazit plný text záznamu View this record from Arxiv