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arXiv · 0903.3749

Nombres de Weil, sommes de Gauss et annulateurs Galoisiens

Thong Nguyen Quang Do·Vésale Nicolas
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Abstract

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.

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Thong Nguyen Quang Do, Vésale Nicolas. 2009-03-22. Nombres de Weil, sommes de Gauss et annulateurs Galoisiens. https://arxiv.org/abs/0903.3749

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