On -adic analytic families of Galois representations
B. Mazur, A. Wiles (1986)
Compositio Mathematica
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B. Mazur, A. Wiles (1986)
Compositio Mathematica
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Skinner, Christopher (2009)
Documenta Mathematica
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Wintenberger, J.-P. (2007)
Documenta Mathematica
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Ami Fischman (2002)
Annales de l’institut Fourier
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We explore the question of how big the image of a Galois representation attached to a -adic modular form with no complex multiplication is and show that for a “generic” set of -adic modular forms (normalized, ordinary eigenforms with no complex multiplication), all have a large image.
Richard Taylor (2004)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Haruzo Hida (1996)
Mémoires de la Société Mathématique de France
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Chris Skinner (2003)
Journal de théorie des nombres de Bordeaux
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This paper is essentially the text of the author’s lecture at the 2001 Journées Arithmétiques. It addresses the problem of identifying in Galois-theoretic terms those two-dimensional, -adic Galois representations associated to holomorphic Hilbert modular newforms.
Ehud De Shalit (1995)
Compositio Mathematica
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