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    Title   l  Truncated euler systems over imaginary quadratic fields
    Journal   l  Nagoya Math. J.
    Year   l  2009
    Vol   l  195
    No   l  
    Pages   l  97-111
    Author   l  Soogil Seo
    DownLoad    l 1254103870_0.179537.pdf  
Abstract. Let K be an imaginary quadratic field and let F be an abelian
extension of K. It is known that the order of the class group ClF of F is equal
to the order of the quotient UF /ElF of the group of global units UF by the
group of elliptic units ElF of F. We introduce a filtration on UF /ElF made
from the so-called truncated Euler systems and conjecture that the associated
graded module is isomorphic, as a Galois module, to the class group. We
provide evidence for the conjecture using Iwasawa theory.

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