@article{AFST_1990_5_11_1_116_0,
author = {Ribet, Kenneth A.},
title = {From the {Taniyama-Shimura} conjecture to {Fermat's} last theorem},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {116--139},
year = {1990},
publisher = {Universit\'e Paul Sabatier},
address = {Toulouse},
volume = {Ser. 5, 11},
number = {1},
mrnumber = {1191476},
zbl = {0726.14015},
language = {en},
url = {https://www.numdam.org/item/AFST_1990_5_11_1_116_0/}
}
TY - JOUR AU - Ribet, Kenneth A. TI - From the Taniyama-Shimura conjecture to Fermat's last theorem JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 1990 SP - 116 EP - 139 VL - 11 IS - 1 PB - Université Paul Sabatier PP - Toulouse UR - https://www.numdam.org/item/AFST_1990_5_11_1_116_0/ LA - en ID - AFST_1990_5_11_1_116_0 ER -
%0 Journal Article %A Ribet, Kenneth A. %T From the Taniyama-Shimura conjecture to Fermat's last theorem %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 1990 %P 116-139 %V 11 %N 1 %I Université Paul Sabatier %C Toulouse %U https://www.numdam.org/item/AFST_1990_5_11_1_116_0/ %G en %F AFST_1990_5_11_1_116_0
Ribet, Kenneth A. From the Taniyama-Shimura conjecture to Fermat's last theorem. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 5, Tome 11 (1990) no. 1, pp. 116-139. https://www.numdam.org/item/AFST_1990_5_11_1_116_0/
[1] ) and ) .- Hecke operators on Γo(m), Math. Ann. 185, 134-160 (1970) | Zbl | MR
[2] ) .- Sur la mauvaise réduction des courbes de Shimura, Compositio Math. 59, 151-230 (1986) | Zbl | MR | Numdam
[3] ) .- Uniformization of algebraic curves by discrete arithmetic subgroups of PGL2(kw) with compact quotients (in Russian), Mat. Sb. 100 , 59-88 (1976). Translation in Math USSR Sb. 29, 55-78 (1976) | Zbl | MR
[4] ) and ) .- Les schémas de modules de courbes elliptiques, Lecture Notes in Math. 349, 143-316 (1973) | Zbl | MR
[5] ) AND ) .- Formes modulaires de poids 1, Ann. Sci. Ec. Norm. Sup. 7, 507-530 (1974) | Zbl | MR | Numdam
[6] ) .- Coverings of p-adic symmetric regions (in Russian), Functional. Anal. i Prilozen. 10, 29-40 (1976). Translation in Funct. Anal. Appl. 10, 107-115 (1976) | Zbl | MR
[7] ) .- Minimal resolution and stable reduction of Xo(N), To appear | Zbl | Numdam
[8] ) .- L'action de l'algèbre de Hecke sur les groupes de composantes des jacobiennes des courbes modulaires est "Eisenstein", To appear | Zbl | MR
[9] ) .- Endlichkeitssätze für abelsche Varietäten über Zahlkörpern, Invent. Math 73, 349-366 (1983). English translation in : Arithmetic Geometry, G. Cornell and J. H. Silverman, eds. New York : Springer-Verlag (1986) | Zbl | MR
[10] ) .- Links between stable elliptic curves and certain diophantine equations, Annales Universitatis Saraviensis 1, 1-40 (1986) | Zbl | MR
[11] ) .- Links between solutions of A - B = C and elliptic curves, Lecture Notes in Math. 1380, 31-62 (1989) | Zbl | MR
[12] ) .- SGA7 I, Exposé IX. Lecture Notes in Math. 288, 313-523 (1972) | Zbl
[13] ) .- Elliptic Curves, Graduate Texts in Mathematics 111. New York: Springer-Verlag (1987) | Zbl | MR
[14] ) and ) .- Local diophantine properties of Shimura curves, Math. Ann. 270, 235-248 (1985) | Zbl | MR
[15] ) and ) .- On the Néron model of Jacobians of Shimura curves, Compositio Math. 60, 227-236 (1986) | Zbl | MR | Numdam
[16] ) and ) .- Arithmetic Moduli of Elliptic Curves, Annals of Math. Studies 108. Princeton: Princeton University Press, (1985) | Zbl | MR
[17] ) . - On some examples of equations defining Shimura curves and the Mumford uniformization, J. Fac. Sci. Univ. Tokyo, Sec. IA, 25, 277-300 (1979) | Zbl | MR
[18] ) .- Modular curves and the Eisenstein ideal, Publ. Math. IHES 47, 33-186 (1977) | Zbl | MR | Numdam
[19] ) .- Number theory as gadfly, American Math. Monthly. To appear | Zbl | MR
[20] ) AND ) .- Two-dimensional representations in the arithmetic of modular curves, To appear | Zbl | MR
[21] ) .- Nouvelles approches du "théorème" de Fermat, Séminaire Bourbaki n° 694 (1987-88). Astérisque 161-162, 165-186 (1988) | Zbl | MR | Numdam
[22] ) .- Rational points on certain elliptic modular curves, Proc. Symp. Pure Math. 24, 221-231 (1973) | Zbl | MR
[23] ).- Hyperelliptic modular curves, Bull. SMF 102, 449-462 (1974) | Zbl | MR | Numdam
[24] ) .- Spécialisation du foncteur de Picard, Publ. Math. IHES 38, 27-76 (1970) | Zbl | MR | Numdam
[25] ) .- On modular representations of Gal(Q/Q) arising from modular forms, Preprint | Zbl | MR
[26] ) .- Bimodules and abelian surfaces, Advanced Studies in Pure Mathematics 17, 359-407 (1989) | Zbl | MR
[27] ) .- On the component groups and the Shimura subgroup of Jo(N), Sém. Th. Nombres, Université Bordeaux, 1987-88 | Zbl | MR
[28] ) .- Abelian l-adic Representations and Elliptic Curves, New York: W.A. Benjamin 1968. (Republished 1989 by Addison-Wesley) | Zbl
[29] ) .- Propriétés galoisiennes des points d'ordre fini des courbes elliptiques, Invent. Math. 15, 259-331 (1972) | Zbl | MR
[30] ) .- Sur les représentations modulaires de degré 2 de Gal(Q/Q), Duke Math. J. 54, 179-230 (1987) | Zbl | MR
[31] ) and ) .- Good reduction of abelian varieties, Ann. of Math. 88, 492-517 (1968) | Zbl | MR
[32] ) .- Introduction to the Arithmetic Theory of Automorphic Functions, Princeton: Princeton University Press (1971) | Zbl
[33] ) . - On elliptic curves with complex multiplication as factors of the Jacobians of modular function fields, Nagoya Math. J. 43, 199-208 (1971) | Zbl | MR
[34] ) .- The Arithmetic of Elliptic Curves, Graduate Texts in Mathematics 106. New York: Springer-Verlag (1986) | Zbl | MR
[35] ) .- Über die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen, Math. Ann. 168, 165- 172 (1967) | Zbl | MR
