Dividing rational points on abelian varieties of CM-type

Kenneth A. Ribet

Compositio Mathematica (1976)

  • Volume: 33, Issue: 1, page 69-74
  • ISSN: 0010-437X

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Ribet, Kenneth A.. "Dividing rational points on abelian varieties of CM-type." Compositio Mathematica 33.1 (1976): 69-74. <http://eudml.org/doc/89298>.

@article{Ribet1976,
author = {Ribet, Kenneth A.},
journal = {Compositio Mathematica},
language = {eng},
number = {1},
pages = {69-74},
publisher = {Noordhoff International Publishing},
title = {Dividing rational points on abelian varieties of CM-type},
url = {http://eudml.org/doc/89298},
volume = {33},
year = {1976},
}

TY - JOUR
AU - Ribet, Kenneth A.
TI - Dividing rational points on abelian varieties of CM-type
JO - Compositio Mathematica
PY - 1976
PB - Noordhoff International Publishing
VL - 33
IS - 1
SP - 69
EP - 74
LA - eng
UR - http://eudml.org/doc/89298
ER -

References

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  1. [1] M. Bašmakov: Un théorème de finitude sur la cohomologie des courbes elliptiques. C.R. Acad. Sci. Paris Sér.A -B270, A999-A1000 (1970). Zbl0194.52303MR269653
  2. [2] M Bašmakov: The cohomology of abelian varieties over a number field. Russian Math. Surveys27 (6) (1972) 25-70. Zbl0271.14010MR399110
  3. [3] J. Coates: An application of the division theory of elliptic functions to diophantine approximation. Inventiones math.11 (1970) 167-182. Zbl0216.04403MR286754
  4. [4] J. Coates and S. Lang: Diophantine approximation on abelian varieties with complex multiplication. (To appear). Zbl0342.10018MR414498
  5. [5] J-P. Serre: Abelian l-adic representations and elliptic curves. New York: Benjamin1968. Zbl0186.25701MR263823
  6. [6] J-P. Serre and J. Tate: Good reduction of abelian varieties. Ann of Math.88 (1968) 492-517. Zbl0172.46101MR236190
  7. [7] G. Shimura: On canonical models of arithmetic quotients of bounded symmetric domains. Ann. of Math.91 (1970) 144-222. Zbl0237.14009MR257031
  8. [8] G. Shimura and Y. Taniyama: Complex multiplication of abelian varieties and its applications to number theory. Publ. Math. Soc. Japan6 (1961). Zbl0112.03502MR125113
  9. [9] J. Tate: Endomorphisms of abelian varieties over finite fields. Inventiones Math.2 (1966) 134-144. Zbl0147.20303MR206004

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