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The work of kolyvagin on the arithmetic of elliptic curves

  • Karl Rubin
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1399)

Keywords

Elliptic Curve Elliptic Curf Galois Group Infinite Order Abelian Extension 
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References

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    Coates. J., Wiles, A.: On the conjecture of Birch and Swinnerton-Dyer. Invent. Math. 39, 223–251 (1977)MathSciNetCrossRefzbMATHGoogle Scholar
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    Kolyvagin, V.A.: Finiteness of E(Q) and Ш(E, Q) for a class of Weil curves. (Russian) To appear in Izv. Akad. Nauk SSSR Ser. Mat. Google Scholar
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    Kolyvagin, V.A.: On Mordell-Weil and Shafarevich-Tate groups of elliptic Weil curves. (Russian) preprintGoogle Scholar
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    Milne, J.S.: Arithmetic duality theorems. Persp. in Math. 1, Orlando: Academic Press (1986)Google Scholar
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    Rubin, K.: Tate-Shafarevich groups and L-functions of elliptic curves with complex multiplication. Invent. Math. 89, 527–560 (1987)MathSciNetCrossRefzbMATHGoogle Scholar
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    Serre. J-P.: Propriétés galoisiennes des points d'ordre fini des courbes elliptiques. Inv. Math. 15, 259–331 (1972)CrossRefGoogle Scholar
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    Shimura, G.: Introduction to the arithmetic theory of automorphic forms. Pub. Math. Soc. Japan 11, Princeton: Princeton University Press (1971)Google Scholar
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    Silverman, J.: The arithmetic of elliptic curves. Grad. Texts in Math. 106, New York: Springer (1986)Google Scholar

Copyright information

© Springer-Verlag 1989

Authors and Affiliations

  • Karl Rubin
    • 1
  1. 1.Department of MathematicsColumbia UniversityNew YorkUSA

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