Selmer groups and Heegner points in anticyclotomic -extensions
Massimo Bertolini (1995)
Compositio Mathematica
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Displaying similar documents to “Duality theorems for -extensions of algebraic number fields”
Selmer groups and Heegner points in anticyclotomic -extensions
The GL2 main conjecture for elliptic curves without complex multiplication
John Coates, Takako Fukaya, Kazuya Kato, Ramdorai Sujatha, Otmar Venjakob (2005)
Publications Mathématiques de l'IHÉS
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Let G be a compact -adic Lie group, with no element of order , and having a closed normal subgroup H such that G/H is isomorphic to . We prove the existence of a canonical Ore set S of non-zero divisors in the Iwasawa algebra Λ(G) of G, which seems to be particularly relevant for arithmetic applications. Using localization with respect to S, we are able to define a characteristic element for every finitely generated Λ(G)-module M which has the property that the quotient...
-adic representations arising from descent on abelian varieties
Michael Harris (1979)
Compositio Mathematica
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Studying the growth of Mordell-Weil.
Mazur, Barry, Rubin, Karl (2003)
Documenta Mathematica
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The work of Mazur and Wiles on cyclotomic fields
John Coates (1980-1981)
Séminaire Bourbaki
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Local height functions and the Mordell-Weil theorem for Drinfeld modules
Bjorn Poonen (1995)
Compositio Mathematica
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A functorial approach to the behaviour of multidimensional control systems
Jean-François Pommaret, Alban Quadrat (2003)
International Journal of Applied Mathematics and Computer Science
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We show how to use the extension and torsion functors in order to compute the torsion submodule of a differential module associated with a multidimensional control system. In particular, we show that the concept of the weak primeness of matrices corresponds to the torsion-freeness of a certain module.
Universal norms of -units in some non-commutative Galois extensions.
Kato, Kazuya (2007)
Documenta Mathematica
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