Duke Mathematical Journal

Endomorphisms and torsion of abelian varieties

Yu. G. Zarhin
Source: Duke Math. J. Volume 54, Number 1 (1987), 131-145.
First Page: Show Hide
Primary Subjects: 14K15
Secondary Subjects: 11G10
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077305508
Mathematical Reviews number (MathSciNet): MR885780
Zentralblatt MATH identifier: 0632.14035
Digital Object Identifier: doi:10.1215/S0012-7094-87-05410-X

References

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Mathematical Reviews (MathSciNet): MR85g:11026a
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Digital Object Identifier: doi:10.1007/BF01388432
[3] H. Imai, A remark on the rational points of abelian varieties with values in cyclotomic $Z\sbp$-extensions, Proc. Japan Acad. 51 (1975), 12–16.
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Project Euclid: euclid.pja/1195518722
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[8] K. A. Ribet, Torsion points of abelian varieties in cyclotomic extensions, pp. 315–319. Appendix to N. M. Katz and S. Lang, Finiteness theorems in geometric classified theory, L'Enseignement Math. 27 (1981), 285–319.
[9] K. A. Ribet, Galois action on division points of abelian varieties with real multiplications, Amer. J. of Math. 98 (1976), no. 3, 751–804.
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[11] G. Shimura, Introduction to the arithmetic theory of automorphic functions, Publications of the Mathematical Society of Japan, No. 11. Iwanami Shoten, Publishers, Tokyo, 1971.
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[12] Yu. G. Zarhin, A finiteness theorem for unpolarized abelian varieties over number fields with prescribed places of bad reduction, Invent. Math. 79 (1985), no. 2, 309–321.
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[13] G. Yu. Zarhin, Torsion of Abelian varieties in finite characteristic, Math. Notes 22 (1978), 493–498.
[14] Yu. G. Zarhin and A. N. Parshin, Finiteness problems in Diophantine geometry, pp. 369–438. Appendix to the Russian translation of S. Lang, Fundamentals of Diophantine Geometry, Mir, Moscow, 1986.
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