Gordon, W. J.
Linking the conjectures of Artin-Tate and Birch-Swinnerton-Dyer
Compositio Mathematica, Tome 38 (1979) no. 2 , p. 163-199
Zbl 0425.14003 | MR 528839 | 2 citations dans Numdam
URL stable : http://www.numdam.org/item?id=CM_1979__38_2_163_0

Bibliographie

[1] M. Artin: Grothendieck topologies, notes on a seminar. Harvard University Press, Cambridge, Mass. (1962). Zbl 0208.48701

[2] M. Artin: Supersingular K3 surfaces, Ann. Sci. E.N.S., 4e série, 7 (1974) 4. Numdam | MR 371899 | Zbl 0322.14014

[3] M. Artin and H.P.F. Swinnerton-Dyer: The Shafarevich-Tate conjecture for pencils of elliptic curves on K3 surfaces, Inventiones Math., 20 (1973) 249-266. MR 417182 | Zbl 0289.14003

[4] M. Artin and G. Winters: Degenerate fibers and stable reduction of curves, Topology 10 (1974) 373-383. MR 476756 | Zbl 0196.24403

[5] P. Deligne: La conjecture de Weil I, IHES Publ. Math., 43 (1974) 273-307. Numdam | MR 340258 | Zbl 0287.14001

[6] P. Deligne and D. Mumford: The irreducibility of the space of curves of a given genus, IHES Publ. Math., 36 (1969) 75-110. Numdam | MR 262240 | Zbl 0181.48803

[7] Éléments de géométrie algébrique, IHES Publ. Math., 4, 7, 11,... Numdam |

[8] A. Grothendieck: Formule de Lefschetz et rationalite des fonctions L, Sém. Bourbaki 279 (1964). Numdam | Zbl 0199.24802

[9] A. Grothendieck: Le groupe de Brauer II, III. Dix exposés sur la cohomologie des schémas. North-Holland, Amsterdam (1968).

[10] A. Grothendieck: Les schémas de Picard, Sém. Bourbaki 232 (1962). Numdam | Zbl 0238.14014

[11] S. Lang: Abelian varieties. Interscience, New York (1959). MR 106225 | Zbl 0098.13201

[12] S. Lang: Diophantine geometry. Interscience, New York (1962). MR 142550 | Zbl 0115.38701

[13] S. Lang: Les formes bilinéaires de Néron et Tate, Sém. Bourbaki 274 (1964). Numdam | MR 176984 | Zbl 0138.42101

[ 14] J. Lipman: Rational singularities... , IHES Publ. Math., 36 (1969) 195-280. Numdam | MR 276239 | Zbl 0181.48903

[15] J.S. Milne: The arithmetic of abelian varieties, Inventiones Math., 17 (1972) 177-190. MR 330174 | Zbl 0249.14012

[16] J.S. Milne: On a conjecture of Artin and Tate, Annals of Math., 102 (1975) 517-533. MR 414558 | Zbl 0343.14005

[17] J.S. Milne: The Brauer group of a rational surface, Inventiones Math., 11 (1970) 304-307. MR 285538 | Zbl 0205.25101

[18] J.S. Milne: The Tate-Šafarevič group of a constant abelian variety, Inventiones Math., 6 (1968) 91-105. MR 244264 | Zbl 0159.22402

[19] D. Mumford: Lectures on curves on an algebraic surface. Princeton University Press, Princeton (1966). MR 209285 | Zbl 0187.42701

[20] A. Néron: Modèles minimaux des variétés abéliennes sur les corps locaux et globaux, IHES Publ. Math., 21 (1964). Numdam | MR 179172 | Zbl 0132.41403

[21] A. Néron: Problèmes arithmétiques et géométriques rattachés a la notion de rang d'une courbe algébrique dans un corps, Bull. Soc. Math. France, 80 (1952) 101-166. Numdam | MR 56951 | Zbl 0049.30803

[22] M. Raynaud: Spécialization du foncteur de Picard, IHES Publ. Math., 38 (1970) 27-76. Numdam | Zbl 0207.51602

[23] SGA 4-Cohomologie étale des schémas. Lecture Notes in Mathematics 269, 270, 305. Springer, Berlin etc. (1973).

[24] SGA 5-Cohomologie l-adic et fonctions L. Lecture Notes in Mathematics 589. Springer, Berlin etc. (1977). Zbl 0345.00011

[25] J.T. Tate: On the conjecture of Birch and Swinnerton-Dyer and a geometric analogue, Sém. Bourbaki 352 (1%8). Numdam | Zbl 0199.55604

[26] J.T. Tate: "Algorithm for determining the type of a singular fiber in an elliptic curve." Modular functions of one variable IV. Lecture Notes in Mathematics 476. Springer, Berlin etc. (1975).

[27] A. Weil: Adeles and algebraic groups. Institute for Advanced Study, Princeton (1961).