Euler system for Galois deformations.

DOI10.5802/aif.2091zbMath1112.11031OpenAlexW2283037951MaRDI QIDQ1774110

Tadashi Ochiai

Publication date: 29 April 2005

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2005__55_1_113_0

zbMATH Keywords

Euler systemHida theoryIwasawa Main conjecture

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) Galois representations (11F80) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Iwasawa theory (11R23) Galois cohomology (11R34)

Related Items

Deformations of Kolyvagin systems ⋮ Coleman-adapted Rubin–Stark Kolyvagin systems and supersingular Iwasawa theory of CM abelian varieties ⋮ Algebraic functional equation for Hida family ⋮ On the Iwasawa theory of CM fields for supersingular primes ⋮ Hida families, \(p\)-adic heights, and derivatives ⋮ Main conjectures for higher rank nearly ordinary families. I ⋮ P-adic L-functions in universal deformation families ⋮ On the Hida deformations of fine Selmer groups ⋮ The cyclotomic Iwasawa main conjecture for Hilbert cusp forms with complex multiplication ⋮ Dihedral Iwasawa theory of nearly ordinary quaternionic automorphic forms ⋮ The algebraic \(p\)-adic \(L\)-function and isogeny between families of Galois representations ⋮ The algebraic functional equation of Selmer groups for CM fields ⋮ Big Heegner point Kolyvagin system for a family of modular forms ⋮ Characteristic ideals and Selmer groups ⋮ Specialization method in Krull dimension two and Euler system theory over normal deformation rings ⋮ Bertini theorem for normality on local rings in mixed characteristic (applications to characteristic ideals)

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