On a generalization of Tate dualities with application to Iwasawa theory
Li Guo (1993)
Compositio Mathematica
Similarity:
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
Weil-Châtelet groups over local fields
J. S. Milne (1970)
Annales scientifiques de l'École Normale Supérieure
Similarity:
Some remarks on conjectures about cyclotomic fields and -groups of
Masato Kurihara (1992)
Compositio Mathematica
Similarity:
Group schemes of prime order
John Tate, Frans Oort (1970)
Annales scientifiques de l'École Normale Supérieure
Similarity:
Extensions with restricted ramification and duality for arithmetic schemes
Alexander Schmidt (1996)
Compositio Mathematica
Similarity:
On the conjectures of Birch and Swinnerton-Dyer and a geometric analog
John Tate (1964-1966)
Séminaire Bourbaki
Similarity:
Class groups of abelian fields, and the main conjecture
Cornelius Greither (1992)
Annales de l'institut Fourier
Similarity:
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...