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Authors
Affiliations
1 Laboratoire de Mathematique, 16 Route de Gray, 25030 Besancon Cedex, FR
Source
Journal of the Ramanujan Mathematical Society, Vol 27, No 3 (2012), Pagination: 255–273
Abstract
We use Euler systems to prove that, given an imaginary quadratic field k in which 2 splits completely, a prime p of k above 2 and a number field K0 abelian with odd degree over k, then, in the unique Z2-extension of K unramified outside of p and abelian over k, the characteristic ideal of the projective limit of the 2-class groups divides the characteristic ideal of the projective limit of units modulo elliptic units. Our method follows closely the ideas of Rubin in [15].