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N Boston and B Mazur Explicit Deformations of Galois
J H Coates and B PerrinRiou On padic Lfunctions
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A-module abelian surfaces abelian variety action adic algebraic closure algebraic number fields Algebraic Number Theory assertion assume automorphism bimodule canonical characteristic cohomology cokernel commutative compact complex conjecture Corollary corresponding cyclotomic define definition denote dimension Dirichlet character dual duality Eichler orders element elliptic curves equivalent exact sequence extension factor finite field follows formula Frobenius functional equation Galois group Hecke Hence homomorphism hyperplanes ideal implies induces integer invariant irreducible isomorphism classes Iwasawa Kenkichi Iwasawa kernel Lemma Math maximal order module morphism multiplication nontrivial norm notation obtain oriented p-adic L-functions pairs polynomial power series prime number Proposition prove quasi-isomorphism quaternion algebra quotient rank reduction Remark representation resp result ring roots of unity satisfies Selmer group set of isomorphism sheaf space subgroup submodule subset supersingular Suppose surjective Tate torsion triple trivial unramified yl-module zero Zp-extension