Geodesic
Division fields of abelian varieties with complex multiplication
Fonctions abéliennes et nombres transcendants, Mémoires de la Société Mathématique de France, Nouvelle série, no. 2 (1980), pp. 75-94

Voir la notice du chapitre de livre provenant de la source Numdam

MR Zbl 
Ribet, K. A. Division fields of abelian varieties with complex multiplication, dans Fonctions abéliennes et nombres transcendants, Mémoires de la Société Mathématique de France, Nouvelle série, no. 2 (1980), pp. 75-94. doi: 10.24033/msmf.284
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[1] Deligne, P., Cycles de Hodge absolus et périodes des intégrales des variétés abéliennes, rédigé par J. L. Brylinski. This volume. | Zbl | Numdam

[2] Greenberg, R., On the Jacobian variety of some algebraic curves. Preprint, 1978.

[3] Koblitz, N. and Rohrlich, N., Simple factors in the Jacobian of a Fermat curve. Canadian J. Math. 30, 1183-1205 (1978). | Zbl | MR

[4] Kubota, T., On the field extension by complex multiplication. Trans. AMS 118, n° 6, 113-122 (1965). | Zbl | MR

[5] Lang, S., Algebraic groups over finite fields. Am. J. Math 78, 555-563 (1956). | Zbl | MR

[6] Masser, D. W., On quasi-periods of abelian functions with complex multiplication. This volume. | Zbl | Numdam

[7] Ono, T., Arithmetic of algebraic tori. Ann. of Math. 74, 101-139 (1961). | Zbl | MR

[8] Ono, T., On the Tamagawa number of algebraic tori. Ann. of Math. 78, 47-73 (1963). | Zbl | MR

[9] Pohlmann, H., Algebraic cycles on abelian varieties of complex multiplication type. Ann. of Math. 88, 161-180 (1968). | Zbl | MR

[10] Ribet, K.A., Kummer theory on extensions of abelian varieties by tori. Duke Math. J. 46, 745-761 (1979). | Zbl | MR

[11] Serre, J. P., Groupes Algébriques et Corps de Classes. Hermann, Paris, 1959. | Zbl | MR

[12] Serre, J. P., Corps Locaux. Deuxième édition revue et corrigée. Hermann, Paris, 1968. | Zbl | MR

[13] Serre, J. P., Letter to D. Masser, November, 1975.

[14] Serre, J.P., Représentations l-adiques. In Algebraic Number Theory (Int. Symp., Kyoto, 1976), Japan Society for the Promotion of Science, Tokyo, 1977. | Zbl

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

[16] Shimura, G., Arithmetic quotients of bounded symmetric domains. Ann. of Math. 91, 144-222 (1970). | Zbl | MR

[17] Shimura, G. and Taniyama, Y., Complex Multiplication of Abelian Varieties and its Applications to Number Theory. Publ. Math. Soc. Japan n° 6, Tokyo, 1961. | Zbl | MR

[18] Weil, A., On a certain type of characters of the idèle-class group of an algebraic number-field. Proc. International Symp. on Algebraic Number Theory, Tokyo-Nikko, 1-7 (1955) = Collected Papers [1955c]. | Zbl | MR

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