no. 2
On p-adic analytic families of Galois representations
Compositio Mathematica, Tome 59 (1986) no. 2, pp. 231-264. 
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     author = {Mazur, B. and Wiles, A.},
     title = {On $p$-adic analytic families of {Galois} representations},
     journal = {Compositio Mathematica},
     pages = {231--264},
     publisher = {Martinus Nijhoff Publishers},
     volume = {59},
     number = {2},
     year = {1986},
     mrnumber = {860140},
     zbl = {0654.12008},
     language = {en},
     url = {http://www.numdam.org/item/CM_1986__59_2_231_0/}
}
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Mazur, B.; Wiles, A. On $p$-adic analytic families of Galois representations. Compositio Mathematica, Tome 59 (1986) no. 2, pp. 231-264. http://www.numdam.org/item/CM_1986__59_2_231_0/

[At] O., Atkin: Congruences for modular forms. Proceedings of the IBM Conference on Computers in Mathematical Research, Blaricium, 1966. North-Holland (1968) 8-19. | MR | Zbl

[C-R] C. Curtis and I. Reiner: Representation theory of finite groups and associative algebras. Interscience, New York (1962). | MR | Zbl

[D-S] P. Deligne and J.-P. Serre: Formes modulaires de poids 1. Ann. Sci. Ecole Norm. Sup. 7 (1974) 507-730. | Numdam | MR | Zbl

[Fa] G. Faltings: Report on Hodge-Tate-Structures. (preprint. Princeton U. 1985).

[Gr] A. Grothendieck: Groupes de Monodromie en Géométrie Algébrique. Lecture Notes in Mathematics, 288. Springer-Verlag, Berlin- Heidelberg-New York (1972). | MR | Zbl

[Har] R. Hartshorne: Residues and Duality. Lecture Notes in Mathematics, 20 Springer-Verlag, Berlin-Heidelberg-New York (1966). | MR | Zbl

[Hi 1] H. Hida: Iwasawa modules attached to congruences of cusp forms. To appear in Ann. Sci. E.N.S. | Numdam | MR | Zbl

[Hi 2] H. Hida: Galois representations into GL2(Zp[[X]]) attached to ordinary cusp forms (preprint). | Zbl

[Ka] N. Katz: P-adic properties of modular schemes and modular forms. Modular Functions of One Variable III. Lecture Notes in Mathematics, 350. Springer Verlag, Berlin-Heidelberg-New York (1973) 69-141. | MR | Zbl

[K-M] N. Katz and B. Mazur: Arithmetic moduli of elliptic curves. Annals of Math. Studies, 108. Princeton Univ. Press (1985). | MR | Zbl

[Li] W. Li: Newforms and functional equations. Math. Ann. 212 (1975) 285-315. | MR | Zbl

[M1] B. Mazur: Isogenies of prime degree. Inv. Math. 44 (1978) 129-162. | MR | Zbl

[M2] B. Mazur: Modular curves and the Eisenstein ideal. Publ. Math. IHES 47 (1978) 33-186. | Numdam | MR | Zbl

[M-W 1] B. Mazur and A. Wiles: Classfields of abelian extensions of Q. Inv. Math. 76 (1984) 179-330. | MR | Zbl

[M-W 2] B. Mazur and A. Wiles: Analogies between function fields and number fields. Amer. J. Math. 105 (1983) 507-521. | MR | Zbl

[Od] A. Odlyzko: On conductors and discriminants.

[O] A. Ogg: On the eigenvalues of Hecke operators. Math. Ann. 179 (1969) 101-108. | MR | Zbl

[Sch] I. Schur: Arithmetische Untersuchungen über endliche Gruppen linearer Substitutionen, Sitzungsberichte Preuss. Ak. der Wiss. (1906) pp. 164-184. In: Gesammelte Abhandlungen I. Springer-Verlag, Berlin-Heidelberg -New York (1973) 177-197. | JFM

[Sen] S. Sen: Continuous cohomology and p-adic Galois representations. Inv. Math. 62 (1981) 89-116. | MR | Zbl

[Serre 1] J.-P. Serre: Représentations l-adiques. Kyoto Int. Symp. on Algebraic Number Theory (1977) 177-193. | MR | Zbl

[Serre 2] J.-P. Serre: Congruences et formes modulaires [d'après H.P.F. Swinnerton-Dyer] Sém. Bourbaki exp. 416. Lecture Notes in Mathematics 317. Springer-Verlag, Berlin-Heidelberg -New York (1973) 319-338. | Numdam | MR | Zbl

[Serre 3] J.-P. Serre: Linear representations of finite groups. Springer-Verlag, New York-Heidelberg -Berlin (1977). | MR | Zbl

[S-T] J.-P. Serre and J. Tate: Good reduction of abelian varieties, Ann. of Math. 88 (1968) 492-517. | MR | Zbl

[SwD] H.P.F. Swinnerton-Dyer: On l-adic representations and congruences for coefficients of modular forms. Modular Functions of One Variable III. Lecture Notes in Mathematics, 350. Springer-Verlag, Berlin-Heidelberg - New York (1973) 1-56. | MR | Zbl

[Ta] J. Tate: p-divisible groups. Proceedings of a conference on local fields (Driebergen 1966). Berlin-Heidelberg-New York, Springer-Verlag (1967) 158-183. | MR | Zbl

[W] A. Wiles: Modular curves and the class group of Q(ζp). Inv. Math. 58 (1980) 1-35. | Zbl

[1] J. Rose: A Course on Group Theory. Cambridge Univ. Press, London/New York (1978). | MR | Zbl

[2] W. Klingenberg: Lineare Gruppen über lokalen Ringen, Amer. J. Math. 83 (1961) 137-153. | MR | Zbl

[3] B.R. Mcdonald: Geometric Algebra over Local Rings. Marcel Dekker Inc., New York and Basel (1976). | MR | Zbl