Iwasawa algebras and arithmetic
John Coates (2001-2002)
Séminaire Bourbaki
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Displaying similar documents to “The GL2 main conjecture for elliptic curves without complex multiplication”
Iwasawa algebras and arithmetic
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Tadashi Ochiai (2005)
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In this paper, we develop the Euler system theory for Galois deformations. By applying this theory to the Beilinson-Kato Euler system for Hida’s nearly ordinary modular deformations, we prove one of the inequalities predicted by the two-variable Iwasawa main conjecture. Our method of the proof of the Euler system theory is based on non-arithmetic specializations. This gives a new simplified proof of the inequality between the characteristic ideal of the Selmer group of a Galois deformation...