@book{MSMF_1975__43__5_0, author = {Ligozat, Gerard}, title = {Courbes modulaires de genre 1}, series = {M\'emoires de la Soci\'et\'e Math\'ematique de France}, publisher = {Soci\'et\'e math\'ematique de France}, number = {43}, year = {1975}, doi = {10.24033/msmf.178}, mrnumber = {54 #5121}, zbl = {0322.14011}, language = {fr}, url = {http://www.numdam.org/item/MSMF_1975__43__5_0/} }
Ligozat, Gerard. Courbes modulaires de genre 1. Mémoires de la Société Mathématique de France, no. 43 (1975), 80 p. doi : 10.24033/msmf.178. http://numdam.org/item/MSMF_1975__43__5_0/
[1] Hecke operators on Γo(m), Math. Ann., 185, 1970, pp. 134-160. | Zbl | MR
et -[2] Notes on elliptic curves. I, Journ. reine u. angewandte Math., 212, 1963, pp. 7-25. | Zbl | MR
et -[3] Notes on elliptic curves, II, Journ. reine u. angewandte Math., 218, 1965, pp. 79-108. | Zbl | MR
et -[4] Variétés différentielles et analytiques, fascicule de résultats, § 10, Hermann, Paris 1971.
-[5] Diophantine equations with special reference to elliptic curves, J. London Math. Soc., 41, 1966, pp. 193-291. | Zbl | MR
-[6] Les schémas de modules de courbes elliptiques, Modular Functions of one Variable II, Lecture Notes in Math. 349, pp. 143-316, Berlin-Heidelberg-New York, Springer 1973. | Zbl | MR
et -[7] On the jacobian varieties of the fields of elliptic modular functions, Osaka Math. J., 15, 1963, pp. 249-256. | Zbl | MR
-[8] Quaternare quadratische Formen und die Riemannsche Vermutung für die Kongruenzzetafunktion, Arch. Math., 5, 1954, pp. 355-366. | Zbl | MR
-[9] Die elliptischen Funktionen und ihre Anwendungen, II, Teubner, Leipzig-Berlin, 1922. | JFM
-[10] Modèles de Néron et monodromie, Groupes de monodromie en Géométrie Algébrique (SGA 7 I), Exposé IX, Lecture Notes in Math., 288, pp. 313-523, Berlin-Heidelberg-New York, Springer 1972. | Zbl | MR
-[11] Mathematische Werke, Göttingen, Vandenhoeck und Ruprecht 1959. | Zbl | MR
-[12] Fibre systems of Jacobian varieties, III, Amer. J. of Math., 81, 1959, pp. 453-476. | Zbl | MR
-[13] Kroneckerian model of fields of elliptic modular functions, Amer. J. of Math., 81, 1959, pp. 561-577. | Zbl | MR
-[14] Corps cyclotomiques et courbes modulaires (en russe), Uspekhi Mat. Nauk. Tom XXVI 6 (161), 1971, pp. 7-71 [trad. anglaise : Russian Math. Surveys, vol. 26, n° 6, 1971, pp. 7-78]. | Zbl
-[15] Points paraboliques et fonctions zêta des courbes modulaires (en russe), Izv. Akad. N. C.C.C.P., 36, 1972, pp. 19-66 [trad. anglaise : Math. USSR-Izvestja, 6, 1972, pp. 19-64]. | Zbl
-[16] On the endomorphism algebra of Jacobian varieties attached to the fields of elliptic modular functions, Osaka J. Math., 1, 1964, pp. 25-31. | Zbl | MR
-[17] Rational Points of Abelian Varieties with Values in Towers of Number Fields, Invent. Math., 18, 1972, pp. 183-266. | Zbl | MR
-[18] Courbes elliptiques et symboles modulaires, Sém. Bourbaki, 24e année, 1971/1972, exposé n° 414, Lecture Notes in Math., 317, Berlin-Heidelberg New York, Springer 1973. | Zbl | Numdam
-[19] Courbes de Weil de conducteur 26, C.R. Acad. Sci. Paris, 275, 1972, pp. 743-745. | Zbl | MR
et -[20] Modèles minimaux des variétés abéliennes sur les corps locaux et globaux, Publ. Math. I.H.E.S., 21, 1964. | Zbl | MR | Numdam
-[21] Modèles minimaux et différentielles, C.I.M.E., 1969.
-[22] Construction and application of a class of modular functions, Proc. London Math., Soc., (3) 7, 1957, pp. 334-350 ; Construction and application of a class of modular functions II, ibid., (3) 9, 1959, pp. 373-387. | Zbl | MR
-[23] Elliptic curves and wild ramification, Amer. J. of Math., 89, 1967, pp. 1-21. | Zbl | MR
-[24] Survey of Modular Functions of one Variable, Modular Functions of one Variable I, Lecture Notes in Math. 320, pp. 1-35, Berlin-Heidelberg-New York, Springer 1973. | Zbl | MR
-[25] Abelian curves of 2-power conductor, Proc. Cambr. Phil. Soc., 62, 1966, pp. 143-148. | Zbl | MR
-[26] Abelian curves of small conductor, Journ. reine u. angewandte Math., 226, 1968, pp. 204-215. | Zbl | MR
-[27] Dirichlet series and modular functions, Benjamin 1968.
-[28] Propriétés galoisiennes des points d'ordre fini des courbes elliptiques, Invent. Math., 15, 1972, pp. 259-331. | Zbl | MR
-[29] Facteurs locaux des fonctions zêta des variétés algébriques (définitions et conjectures), Sém. Delange-Pisot-Poitou, 1969/1970, n° 19). | Zbl | Numdam
-[30] Good reduction of abelian varieties, Ann. of Math., 88, 1968, pp. 492-517. | Zbl | MR
et -[31] Correspondances modulaires et les fonctions ζ de courbes algébriques, J. Math. Soc. Japan, 10, n° 1, 1958, pp. 1-28. | Zbl | MR
-[32] Introduction to the arithmetic theory of automorphic functions, Publ. Math. Soc. Japan, n° 11, Tokyo-Princeton, 1971. | Zbl
-[33] The diophantine equation X3 + Y3 = DZ3 and the conjectures of Birch and Swinnerton-Dyer, J. reine u. angewandte Math., 231, 1968, pp. 121-162. | Zbl | MR
-[34] An Application of Computing to Class Field Theory, dans : J. CASSELS et A. FRÖHLICH (ed.) : Algebraic Number Theory, pp. 280-291, London-New York, Academic Press 1967. | MR
-[35] The Conjectures of Birch and Swinnerton-Dyer, and of Tate, Proceedings of a Conference on Local Fields, NUFFIC Summer School held at Driebergen, pp. 132-157, 1966, Berlin-Heidelberg-New York, Springer 1967. | Zbl | MR
-[36] Algorithm for determining the type of a singular fibre in an elliptic pencil (notes diffusées par l'I.H.E.S.).
-[37] Rational points on elliptic curves, course given at Haverford (May, April 1961), re-edited, 1970, without the author's permission by "Faculté des Sciences de Poitiers".
-[38] On the conjectures of Birch and Swinnerton-Dyer and a geometric analog., Sém. Bourbaki, exp. n° 306, 1965/1966, New York-Amsterdam, Benjamin 1966. | Zbl | Numdam
-[39] Courbes elliptiques sur ℚ ayant bonne réduction en dehors de {11}, C.R. Acad. Sci. Paris, 273, 1971, pp. 73-75 ; Isogénies entre courbes elliptiques ibid., 273, 1971, pp. 238-241. | Zbl
-[40] Über die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen, Math. Ann., 168, 1967, pp. 149-156. | Zbl | MR
-[41] Sur le problème de M.Werner Mnich, Acta Arithmetica, 7, 1961/1962, pp. 187-190. | Zbl | MR
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