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Tate, John
On the conjectures of Birch and Swinnerton-Dyer and a geometric analog. Séminaire Bourbaki, 9 (1964-1966), Exposé No. 306, 26 p.
Texte intégral djvu | pdf | Analyses MR 1610977 | Zbl 0199.55604 | 20 citations dans Numdam

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Bibliographie

[1] M. Artin and A. Grothendieck - Cohomologie étale, Séminaire I.H.E.S., 1963-64, mimeographed.
[2] B.J. Birch - Conjectures on elliptic curves, Amer. Math. Soc., Proc. of Symposia in Pure Math., 8 : Theory of Numbers, Pasadena 1963.
[3] B.J. Birch and H.P.F. Swinnerton-Dyer - Notes on elliptic curves. I, Journ. reine u. angewandte Math. 212 (1963), 7-25.
Article |  MR 146143 |  Zbl 0118.27601
[4] B.J. Birch and H.P.F. Swinnerton-Dyer - Notes on elliptic curves. II, Journ. reine u. angewandte Math. 218 (1965), 79-108.
Article |  MR 179168 |  Zbl 0147.02506
[5] J.W.S. Cassels - Arithmetic on curves of genus 1. I, II, III, IV, V, VI, VII, VIII,..., in particular, IV, Proof of the Hauptvermutung, Journ. reine u. angewandte Math. 211 (1962) 95-112, and VIII, On Conjectures of Birch and Swinnerton-Dyer, Journ. reine u. angewandte Math. 217 (1965), 180-199.  Zbl 0241.14017
[6] J.W.S. Cassels- Arithmetic on an elliptic curve, Proc. Int. Congress Math., Stockholm, 1962, 234-246.  MR 175891 |  Zbl 0118.27701
[7] J.W.S. Cassels- Arithmetic on abelian varieties, especially of dimension 1, Amer. Math. Soc., Lecture Notes of the Woods Hole Summer Institute on Algebraic Geometry, July 1964.
[8] A. Grothendieck - Le groupe de Brauer I, Algèbres d'Azumaya et interprétations diverses, Séminaire Bourbaki, Mai 1965, n°290, 21 p., et II, Théorie cohomologique, Séminaire Bourbaki, Nov. 1965, n°297, 21 p.
Numdam |  Zbl 0193.21503
[9] A. Grothendieck - Le groupe de Brauer III, Exemples et compléments, to appear in mimeo notes at the I.H.E.S.  MR 244271 |  Zbl 0198.25901
[10] A. Grothendieck - Fonctions L et cohomologie l-adique, Séminaire I.H.E.S., 1965, (in preparation).
[11] M. Kneser - Seminar talk at the Brighton Conference on Algebraic Number Theory, Sept. 1965, to appear in the Proceedings, Academic Press.
[12] S. Lang - Les formes bilinéaires de Néron et Tate, Séminaire Bourbaki, n°274 Mai 1964.
Numdam |  MR 176984 |  Zbl 0138.42101
[13] J.I. Manin - Tate height of points on abelian varieties, variants and applications, Isv. Akad. Nauk. S.S.S.R., Math. Series, 28, 6 (1964), 1363-1390.  MR 173676 |  Zbl 0192.26801
[14] A. Néron - Modèles minimaux des variétés abéliennes sur les corps locaux et globaux, Publ. Inst. Hautes Etudes Scientifiques, n°21, 1964.
Numdam |  MR 179172 |  Zbl 0132.41403
[15] A. Néron - Quasi-fonctions et hauteurs sur les variétés abéliennes, Annals of Math. 82 (1965), 249-331.  MR 179173 |  Zbl 0163.15205
[16] J.-P. Serre - Cohomologie Galoisienne, third edition, Lecture Notes in Mathematics, n° 5, Springer, 1965.  MR 201444 |  Zbl 0136.02801
[17] J.-P. Serre - Zeta and L-functions, to appear in the proceedings of the Purdue Conference on Arithmetical Algebraic Geometry, to be published by Harper and Row. (This has appeared in the A.M.S. Mimeo proceedings of the Woods Hole Summer Institute on Algebraic Geometry, July, 1964, and also in Russian translation in the most recent issue of Uspekhi).  MR 194396 |  Zbl 0171.19602
[18] H.P.F. Swinnerton-Dyer - Seminar talk at the Brighton conference on algebraic number theory, to appear in the proceedings with Academic Press.  MR 314733
[19] J. Tate- Algebraic cycles and poles of zeta functions, to appear in the proceedings of the Purdue Conference on Arithmetical Algebraic Geometry, to be published by Harper and Row. (This is a very slight modification of the talk on Algebraic cohomology classes which has appeared in the A.M.S. Mimeo proceedings of the Woods Hole Summer Institute on Algebraic Geometry, July, 1964, and also in Russian translation in the most recent issue of Uspekhi.)  MR 225778 |  Zbl 0213.22804
[20] J. Tate - Duality theorems in Galois cohomology over number fields, Proc. Int. Cong. Math., Stockholm (1962), 288-295.  MR 175892 |  Zbl 0126.07002
[21] A. Weil - Jacobi sums as "Grössencharaktere". Trans. Amer. Math. Soc. 73 (1952), 487-495.  MR 51263 |  Zbl 0048.27001
[22] A. Weil - Adèles and algebraic groups, Mimeo notes taken by M. Demazure and T. Ono, I.A.S., Princeton, 1961.  MR 670072
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