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A note on height pairings, Tamagawa numbers, and the birch and swinnerton-dyer conjecture

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References

  1. Lang, S.: Les formes bilinéaires de Néron et Tate. Sem. Bourbaki, no 274, 1964

  2. Manin, Ju., Zarkin, Y.G.: Heights on families of abelian varieties. Mat. Sbornik89, 171–181 (1972)

    Google Scholar 

  3. Néron, A.: Quasi-fonctions et hauteurs sur les variétés abéliennes. Annals of Math.82, 249–331 (1965)

    Google Scholar 

  4. Ono, T.: Arithmetic of algebraic tori. Ann. of Math.,74, 101–139 (1961)

    Google Scholar 

  5. Ono, T.: On the Tamagawa number of algebraic tori. Ann. of Math.,78, 47–73 (1963)

    Google Scholar 

  6. Sansuc, Thèse, Paris (1978)

  7. Tate, J.: The arithmetic of elliptic curves. Invent. Math.23, 179–206 (1974)

    Google Scholar 

  8. Tate, J.: On the conjecture of Birch and Swimmerton-Dyer and a geometric analog. Sem. Bourbaki No.306, Feb. 1966

  9. Tate, J.: Letter to Serre, June 21, 1968

  10. Weil, A.: Adèles and algebraic groups. Institute for Advanced Study, Princeton, 1961

    Google Scholar 

  11. Mazur, B., Messing, W.: Universal extensions and one-dimensional crystalline cohomology. Lecture Notes in Math. No.370, Berlin-Heidelberg-New York: Springer 1974

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of Chicago, 60637, Chicago, IL, USA

    S. Bloch

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  1. S. Bloch
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Partially supported by the National Science Foundation under NSF MCS 7701931

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Bloch, S. A note on height pairings, Tamagawa numbers, and the birch and swinnerton-dyer conjecture. Invent Math 58, 65–76 (1980). https://doi.org/10.1007/BF01402274

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  • DOI: https://doi.org/10.1007/BF01402274

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