@article{PMIHES_1990__71__65_0, author = {Mazur, Barry and Tilouine, Jacques}, title = {Repr\'esentations galoisiennes, diff\'erentielles de {K\"ahler} et {\guillemotleft} conjectures principales {\guillemotright}}, journal = {Publications Math\'ematiques de l'IH\'ES}, pages = {65--103}, publisher = {Institut des Hautes \'Etudes Scientifiques}, volume = {71}, year = {1990}, mrnumber = {1079644}, zbl = {0744.11053}, language = {fr}, url = {http://archive.numdam.org/item/PMIHES_1990__71__65_0/} }
TY - JOUR AU - Mazur, Barry AU - Tilouine, Jacques TI - Représentations galoisiennes, différentielles de Kähler et « conjectures principales » JO - Publications Mathématiques de l'IHÉS PY - 1990 SP - 65 EP - 103 VL - 71 PB - Institut des Hautes Études Scientifiques UR - http://archive.numdam.org/item/PMIHES_1990__71__65_0/ LA - fr ID - PMIHES_1990__71__65_0 ER -
%0 Journal Article %A Mazur, Barry %A Tilouine, Jacques %T Représentations galoisiennes, différentielles de Kähler et « conjectures principales » %J Publications Mathématiques de l'IHÉS %D 1990 %P 65-103 %V 71 %I Institut des Hautes Études Scientifiques %U http://archive.numdam.org/item/PMIHES_1990__71__65_0/ %G fr %F PMIHES_1990__71__65_0
Mazur, Barry; Tilouine, Jacques. Représentations galoisiennes, différentielles de Kähler et « conjectures principales ». Publications Mathématiques de l'IHÉS, Tome 71 (1990), pp. 65-103. http://archive.numdam.org/item/PMIHES_1990__71__65_0/
[1] Algèbre Commutative, chapitre 7 : Diviseurs, Paris, Hermann, 1965. | Zbl
,[2] Sur les représentations l-adiques attachées aux formes modulaires de Hilbert, C.R. Acad. Sc. Paris, série I, 296 (1985), 629-632. | MR | Zbl
,[3] Iwasawa theory for the symmetric square of an elliptic curve, J. reine angew. Math., 375 (1987), 104-156. | MR | Zbl
, .,[4] Fonctions L p-adiques des corps quadratiques imaginaires et de leurs extensions abéliennes, J. reine angew. Math., 358 (1985), 76-91. | MR | Zbl
,[5] On the conjecture of Birch and Swinnerton-Dyer, Inv. Math., 72 (1983), 241-265. | MR | Zbl
,[6] Iwasawa theory for p-adic representations, Advanced Studies in Pure Mathematics, 17 (1989), 97-137. | MR | Zbl
,[7] Iwasawa modules attached to congruences of cusp forms, Ann. Scient. Ec. Norm. Sup., 4e série, 19 (1986), 231-273. | Numdam | MR | Zbl
,[8] Galois representations into GL2(Zp[[X]]) attached to ordinary cusp forms, Inv. Math., 85 (1986), 545-577. | MR | Zbl
,[9] A p-adic measure attached to the zeta functions associated with two elliptic modular forms, I, Inv. Math., 79 (1985), 159-195. | MR | Zbl
,[10] Hecke algebras for GL1 and GL2, Sém. Th. N. Paris, 1985-1986, 131-163, Birkhäuser Verlag, 1986. | Zbl
,[11] p-adic interpolation of real analytic Eisenstein series, Ann. of Math., 104 (1976), 459-571. | MR | Zbl
,[12] Arithmetic Moduli of Elliptic Curves, Ann. of Math. Studies, number 108, Princeton Univ. Press, 1985. | MR | Zbl
, ,[13] Automorphic forms and l-adic representations, in Proc. Int. Summer School on Modular Functions of One Variable II, Antwerp, 1972, Lecture Notes in Math., 349, 361-500, Springer-Verlag, 1973. | Zbl
,[14] Modular Curves and the Eisenstein Ideal, Publ. Math. I.H.E.S., 47 (1977), 33-186. | Numdam | MR | Zbl
,[15] Class fields of abelian extensions of Q, Inv. Math., 76 (1984), 179-330. | MR | Zbl
, ,[16] On p-adic families of Galois representations, Comp. Math., 59 (1986), 231-264. | Numdam | MR | Zbl
, ,[17] Deforming Galois Representations, in Galois Groups over Q, 385-438, Springer-Verlag, 1989. | MR | Zbl
,[18] Two-dimensional representations in the arithmetic of modular curves, à paraître dans Sém. Orsay, 1987-1988, Ed. G. Henniart, Astérisque. | Zbl
, ,[19] The "main conjectures" in Iwasawa theory for imaginary quadratic fields, Preprint, Ohio State U., Columbus, Ohio, 1990.
,[20] Iwasawa Theory of Elliptic Curves with Complex Multiplication, Persp. in Math., vol. 3, Academic Press, 1987. | MR | Zbl
,[21] Introduction to the Arithmetic Theory of Automorphic Functions, Iwanami Shoten and Princeton Univ. Press, 1972. | Zbl
,[22] Un sous-groupe p-divisible de la jacobienne de X1(Npr) comme module sur l'algèbre de Hecke, Bull. Soc. Math. Fr., 115 (1987), 329-360. | Numdam | MR | Zbl
,[23] Kummer's Criterion over Λ and Hida's Congruence Module, Hokkaido University Technical Report Series in Mathematics, vol. 4, 1987.
,[24] Théorie d'Iwasawa classique et de l'algèbre de Hecke ordinaire, Comp. Math., 65 (1988), 265-320. | Numdam | MR | Zbl
,[25] Une conséquence de la conjecture principale dans la théorie d'Iwasawa d'un corps quadratique imaginaire, C.R. Acad. Sci. Paris, série 1, 306 (1988), 217-221. | MR | Zbl
,[26] Sur la conjecture principale anticyclotomique, Duke Math. J., 59 (1989), 629-673. | MR | Zbl
,[27] On p-adic representations over a totally real field, Ann. of Math., 123 (1986), 407-456. | MR | Zbl
,[28] p-adic measures on Galois groups, Inv. Math., 76 (1984), 331-343. | MR | Zbl
,[29] Automorphic Forms on Adele Groups, Ann. of Math. Studies, Princeton Univ. Press, 1975. | Zbl
,[30] On a certain type of characters of idèle-class group of an algebraic number-field, in uvres scientifiques, vol. 2, [1955c], 255-261, Springer-Verlag, 1980.
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