On the conjectures of Birch and Swinnerton-Dyer and a geometric analog
Séminaire Bourbaki : années 1964/65 1965/66, exposés 277-312, Séminaire Bourbaki, no. 9 (1966), Talk no. 306, 26 p.
@incollection{SB_1964-1966__9__415_0,
author = {Tate, John},
title = {On the conjectures of {Birch} and {Swinnerton-Dyer} and a geometric analog},
booktitle = {S\'eminaire Bourbaki : ann\'ees 1964/65 1965/66, expos\'es 277-312},
author = {Collectif},
series = {S\'eminaire Bourbaki},
note = {talk:306},
publisher = {Soci\'et\'e math\'ematique de France},
number = {9},
year = {1966},
zbl = {0199.55604},
mrnumber = {1610977},
language = {en},
url = {http://archive.numdam.org/item/SB_1964-1966__9__415_0/}
}
TY  - CHAP
AU  - Tate, John
TI  - On the conjectures of Birch and Swinnerton-Dyer and a geometric analog
BT  - Séminaire Bourbaki : années 1964/65 1965/66, exposés 277-312
AU  - Collectif
T3  - Séminaire Bourbaki
N1  - talk:306
PY  - 1966
DA  - 1966///
IS  - 9
PB  - Société mathématique de France
UR  - http://archive.numdam.org/item/SB_1964-1966__9__415_0/
UR  - https://zbmath.org/?q=an%3A0199.55604
UR  - https://www.ams.org/mathscinet-getitem?mr=1610977
LA  - en
ID  - SB_1964-1966__9__415_0
ER  - 
%0 Book Section
%A Tate, John
%T On the conjectures of Birch and Swinnerton-Dyer and a geometric analog
%B Séminaire Bourbaki : années 1964/65 1965/66, exposés 277-312
%A Collectif
%S Séminaire Bourbaki
%Z talk:306
%D 1966
%N 9
%I Société mathématique de France
%G en
%F SB_1964-1966__9__415_0
Tate, John. On the conjectures of Birch and Swinnerton-Dyer and a geometric analog, in Séminaire Bourbaki : années 1964/65 1965/66, exposés 277-312, Séminaire Bourbaki, no. 9 (1966), Talk no. 306, 26 p. http://archive.numdam.org/item/SB_1964-1966__9__415_0/

[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. | MR | Zbl

[4] B.J. Birch and H.P.F. Swinnerton-Dyer - Notes on elliptic curves. II, Journ. reine u. angewandte Math. 218 (1965), 79-108. | MR | Zbl

[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

[6] J.W.S. Cassels-Arithmetic on an elliptic curve, Proc. Int. Congress Math., Stockholm, 1962, 234-246. | MR | Zbl

[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

[9] A. Grothendieck - Le groupe de Brauer III, Exemples et compléments, to appear in mimeo notes at the I.H.E.S. | MR | Zbl

[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. | EuDML | Numdam | MR | Zbl

[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 | Zbl

[14] A. Néron - Modèles minimaux des variétés abéliennes sur les corps locaux et globaux, Publ. Inst. Hautes Etudes Scientifiques, n°21, 1964. | EuDML | Numdam | MR | Zbl

[15] A. Néron - Quasi-fonctions et hauteurs sur les variétés abéliennes, Annals of Math. 82 (1965), 249-331. | MR | Zbl

[16] J.-P. Serre - Cohomologie Galoisienne, third edition, Lecture Notes in Mathematics, n° 5, Springer, 1965. | MR | Zbl

[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 | Zbl

[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

[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 | Zbl

[20] J. Tate - Duality theorems in Galois cohomology over number fields, Proc. Int. Cong. Math., Stockholm (1962), 288-295. | MR | Zbl

[21] A. Weil - Jacobi sums as "Grössencharaktere". Trans. Amer. Math. Soc. 73 (1952), 487-495. | MR | Zbl

[22] A. Weil - Adèles and algebraic groups, Mimeo notes taken by M. Demazure and T. Ono, I.A.S., Princeton, 1961. | MR