Linking the conjectures of Artin-Tate and Birch-Swinnerton-Dyer
Compositio Mathematica, Tome 38 (1979) no. 2, pp. 163-199.
@article{CM_1979__38_2_163_0,
     author = {Gordon, W. J.},
     title = {Linking the conjectures of {Artin-Tate} and {Birch-Swinnerton-Dyer}},
     journal = {Compositio Mathematica},
     pages = {163--199},
     publisher = {Sijthoff et Noordhoff International Publishers},
     volume = {38},
     number = {2},
     year = {1979},
     mrnumber = {528839},
     zbl = {0425.14003},
     language = {en},
     url = {http://archive.numdam.org/item/CM_1979__38_2_163_0/}
}
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Gordon, W. J. Linking the conjectures of Artin-Tate and Birch-Swinnerton-Dyer. Compositio Mathematica, Tome 38 (1979) no. 2, pp. 163-199. http://archive.numdam.org/item/CM_1979__38_2_163_0/

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

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

[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 | Zbl

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

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

[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 | Zbl

[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

[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

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

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

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

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

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

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

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

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

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

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

[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. | EuDML | Numdam | MR | Zbl

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

[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

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

[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). | Zbl

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