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Height pairing between algebraic cycles

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K-Theory, Arithmetic and Geometry

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1289))

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References

  1. S. Arakelov Vancouver ICM report 1974.

    Google Scholar 

  2. A. Beilinson Notes on absolute Hodge cohomology, Contempozazy mathematics, vol. 55, pp 35–68

    Google Scholar 

  3. A. Beilinson Higher regulators and values of L-functions (in Russian) in Modern problems in mathematics VINITI series, vol. 24, 1984, 181–238.

    MathSciNet  Google Scholar 

  4. S. Bloch Algebraic cycles and values of L-functions, preprint, 1983.

    Google Scholar 

  5. S. Bloch Algebraic cycles and values of L-functions II, preprint, 1984.

    Google Scholar 

  6. S. Bloch Height pairings for algebraic cycle,s preprint 1984.

    Google Scholar 

  7. S. Bloch Lectures on algebraic cycles, Duke university math. series IV, 1980.

    Google Scholar 

  8. P. Deligne Structures de Hodge mixtes reeles, preprint IHES, 1982.

    Google Scholar 

  9. P. Deligne La conjecture de Weil II, Publ. math. IHES, 52 (1980).

    Google Scholar 

  10. H. Gillet, Ch. Soule Intersection sur les varietes d'Arakelov, CRAS t. 299, ser. 1, 12, 1984, 563–566.

    MathSciNet  MATH  Google Scholar 

  11. B. Gross, D. Zagier Paper on heights of Heegner points, to appear.

    Google Scholar 

  12. S. Landsburg Relative cycles and algebraic K-theory, preprint 1983.

    Google Scholar 

  13. S. Lang Fundamentals of Diophantine geometry, Springer 1983.

    Google Scholar 

  14. S. Lichtenbaum Values of zeta-functions at non-negative integers, preprint 1983.

    Google Scholar 

  15. Yu.I. Manin New dimensions in geometry, Arbeitstagung, Bonn, 1984, in Lecture note 1000.

    Google Scholar 

  16. D. Mumford Rational equivalence of o-cycles on surfaces, J. Math. Kyoto Univ. 9, 195–204, 1968.

    MathSciNet  MATH  Google Scholar 

  17. S. Lang Fundamentals of diophantine geometry, Springer-Verlag 1983

    Google Scholar 

  18. Ch. Soulé Operations en K-theorie algebrique, preprint, 1983.

    Google Scholar 

  19. Ch. Soulé Regulateurs, Sem. Bourbaki, exp. 644, Fevrier 1985.

    Google Scholar 

  20. H.P.F. Swinnerton-Dyer. The conjectures of Birch-Swinnerton-Dyer and of Tate, in Proceedings of a Conference on Local Fields, Springer-Verlag, Berlin, 1967.

    Google Scholar 

  21. P. Deligne Valeurs de fonctions L et periodes d'integrales Proc. Symp. Pure math, Vol 33, p. 2, 1979, pp. 313–346.

    MathSciNet  Google Scholar 

  22. Seminaire sur le pinceaux arithmetiques: la conjecture de Mordell, Asterisque 127, 1985

    Google Scholar 

  23. S. Bloch Algebraic cycles and higher K-theory, Advances in Math., to appear.

    Google Scholar 

  24. S.Bloch Algebraic cycles and the Beilinson conjectures, Contemporary math., Vol.58, part 1, 186, pp. 65–79

    Google Scholar 

  25. A.Beilinson, R.Macpherson, V.Schechtman Notes on motivic cohomology, to appear in Duke. math. journ.

    Google Scholar 

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Authors
  1. A. A. Beilinson
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Yuri I. Manin

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© 1987 Springer-Verlag

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Beilinson, A.A. (1987). Height pairing between algebraic cycles. In: Manin, Y.I. (eds) K-Theory, Arithmetic and Geometry. Lecture Notes in Mathematics, vol 1289. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078364

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  • DOI: https://doi.org/10.1007/BFb0078364

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  • Print ISBN: 978-3-540-18571-0

  • Online ISBN: 978-3-540-48016-7

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