On a generalization of Tate dualities with application to Iwasawa theory
Li Guo (1993)
Compositio Mathematica
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Displaying similar documents to “Generalization of the Moore exact sequence and the wild kernel for higher K-groups”
On a generalization of Tate dualities with application to Iwasawa theory
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This first part of this paper gives a proof of the main conjecture of Iwasawa theory for abelian base fields, including the case , by Kolyvagin’s method of Euler systems. On the way, one obtains a general result on local units modulo circular units. This is then used to deduce theorems on the order of -parts of -class groups of abelian number fields: first for relative class groups of real fields (again including the case ). As a consequence, a generalization of the Gras conjecture...