On ordinary ?-adic representations associated to modular forms

1988/10/01 by Andrew Wiles, A. Wiles · 27 citations
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #advanced mathematical theories

paper · doi:10.1007/bf01394275

Citations

• On Euler Products and the Classification of Automorphic Representations I
• On Euler Products and the Classification of Automorphic Forms II

Cited by

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• Dihedral Iwasawa theory of nearly ordinary quaternionic automorphic forms
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• Algebraic families of Galois representations and potentially semi-stable pseudodeformation rings
• On anticyclotomic Euler and Kolyvagin systems
• Canonical periods and congruence formulae
• Galois representations associated to Siegel modular forms of low weight
• Stable free lattices in residually reducible Galois deformations and control theorem of Selmer groups
• Modularity lifting results in parallel weight one and applications to the Artin conjecture: the tamely ramified case
• On certain constructions of p-adic families of Siegel modular forms of even genus
• Pseudorepresentations not arising from genuine representations
• On the computation of base-change lifts and lifts of Hida families
• p-adic heights of generalized Heegner cycles
• Big principal series, p-adic families and L-invariants
• Comparison of canonical periods under base change
• Hirzebruch-Zagier classes and rational elliptic curves over quintic fields
• From potential modularity to modularity for integral Galois representations and rigid Calabi-Yau threefolds
• On the symmetric powers of cusp forms on GL (2) of icosahedral type
• Conductors in p-adic families
• On the Iwasawa main conjectures for modular forms at non-ordinary primes
• Ramification of Hilbert eigenvarieties at classical points
• On the non-vanishing of generalized Kato classes for elliptic curves of rank 2
• Stable \mathbbI-free lattices and the two-variable algebraic p-adic L-functions in residually reducible Hida deformation
• Représentations galoisiennes automorphes et conséquences arithmétiques des conjectures de Langlands et Arthur
• A semi-ordinary p-stabilization of Siegel Eisenstein series for symplectic groups and its p-adic interpolation
• On certain cohomology groups attached to mathfrakp^\∞-towers\n of quaternionic Hilbert modular varieties
• T-ideals of Cayley Hamilton algebras