-adic representations arising from descent on abelian varieties
Michael Harris (1979)
Compositio Mathematica
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Displaying similar documents to “On a generalization of Tate dualities with application to Iwasawa theory”
-adic representations arising from descent on abelian varieties
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Class groups of abelian fields, and the main conjecture
Cornelius Greither (1992)
Annales de l'institut Fourier
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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...
The two-square lemma.
Temple H. Fay, Keith A. Hardie, Peter J. Hilton (1989)
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A new proof is given of the connecting homomorphism.