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Duality theorems for curves over p-adic fields. (English) Zbl 0186.26402


References:

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[2] Cassels, J. W. S.: Diophantine equations with special reference to elliptic curves. Jour. London Math. Soc.41, 193-291 (1966). · Zbl 0138.27002 · doi:10.1112/jlms/s1-41.1.193
[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. · Zbl 0099.16103
[6] ?, and J. Tate: Principal homogeneous spaces over abelian varieties. Amer. J. of Math.80, 659-684 (1958). · Zbl 0097.36203 · doi:10.2307/2372778
[7] Lichtenbaum, S.: The period-index problem for elliptic curves. Amer. J. of Math. (to appear). · Zbl 0187.18602
[8] Roquette, P.: Splitting of algebras by function fields of one variable. Nagoya Math. Jour.27, 625-642 (1966). · Zbl 0147.03801
[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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