Dividing rational points on abelian varieties of CM-type
Compositio Mathematica, Volume 33 (1976) no. 1, pp. 69-74.
@article{CM_1976__33_1_69_0,
     author = {Ribet, Kenneth A.},
     title = {Dividing rational points on abelian varieties of $CM$-type},
     journal = {Compositio Mathematica},
     pages = {69--74},
     publisher = {Noordhoff International Publishing},
     volume = {33},
     number = {1},
     year = {1976},
     mrnumber = {424823},
     zbl = {0331.14020},
     language = {en},
     url = {http://www.numdam.org/item/CM_1976__33_1_69_0/}
}
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Ribet, Kenneth A. Dividing rational points on abelian varieties of $CM$-type. Compositio Mathematica, Volume 33 (1976) no. 1, pp. 69-74. http://www.numdam.org/item/CM_1976__33_1_69_0/

[1] M. Bašmakov: Un théorème de finitude sur la cohomologie des courbes elliptiques. C.R. Acad. Sci. Paris Sér. A -B 270, A999-A1000 (1970). | MR | Zbl

[2] M Bašmakov: The cohomology of abelian varieties over a number field. Russian Math. Surveys 27 (6) (1972) 25-70. | MR | Zbl

[3] J. Coates: An application of the division theory of elliptic functions to diophantine approximation. Inventiones math. 11 (1970) 167-182. | MR | Zbl

[4] J. Coates and S. Lang: Diophantine approximation on abelian varieties with complex multiplication. (To appear). | MR | Zbl

[5] J-P. Serre: Abelian l-adic representations and elliptic curves. New York: Benjamin 1968. | MR | Zbl

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

[7] G. Shimura: On canonical models of arithmetic quotients of bounded symmetric domains. Ann. of Math. 91 (1970) 144-222. | MR | Zbl

[8] G. Shimura and Y. Taniyama: Complex multiplication of abelian varieties and its applications to number theory. Publ. Math. Soc. Japan 6 (1961). | MR | Zbl

[9] J. Tate: Endomorphisms of abelian varieties over finite fields. Inventiones Math. 2 (1966) 134-144. | MR | Zbl