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Duality theorems for curves overP-adic fields

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Bibliography

  1. Artin, M.: Grothendieck Topologies. Seminar notes, Harvard University 1962.

  2. Cassels, J. W. S.: Diophantine equations with special reference to elliptic curves. Jour. London Math. Soc.41, 193–291 (1966).

    Google Scholar 

  3. Grothendieck, A.: Le groupe de Brauer I, Algèbres d'Azumaya et interpretations diverses; Seminaire Bourbaki, Mai 1965. no 290, 21 p., et II, Théorie cohomologique; Seminaire Bourbaki, Nov. 1965, no. 297, 21 p.

  4. Grothendieck, A.: Le groupe de Brauer III, Exemples et compléments. Mimeographed notes, I.H.E.S. 1966.

  5. Lang, S.: Abelian Varieties. New York: Interscience 1959.

    Google Scholar 

  6. —, and J. Tate: Principal homogeneous spaces over abelian varieties. Amer. J. of Math.80, 659–684 (1958).

    Google Scholar 

  7. Lichtenbaum, S.: The period-index problem for elliptic curves. Amer. J. of Math. (to appear).

  8. Roquette, P.: Splitting of algebras by function fields of one variable. Nagoya Math. Jour.27, 625–642 (1966).

    Google Scholar 

  9. Tate, J.: Cohomology of abelian varieties overp-adic fields. (Notes by S. Lang, Princeton Univ. May 1959.)

  10. Tate, J.WC-groups overp-adic fields. Seminaire Bourbaki, Décembre 1957, no 156, 13p.

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Lichtenbaum, S. Duality theorems for curves overP-adic fields. Invent Math 7, 120–136 (1969). https://doi.org/10.1007/BF01389795

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