@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},
year = {1979},
publisher = {Sijthoff et Noordhoff International Publishers},
volume = {38},
number = {2},
mrnumber = {528839},
zbl = {0425.14003},
language = {en},
url = {https://www.numdam.org/item/CM_1979__38_2_163_0/}
}
TY - JOUR AU - Gordon, W. J. TI - Linking the conjectures of Artin-Tate and Birch-Swinnerton-Dyer JO - Compositio Mathematica PY - 1979 SP - 163 EP - 199 VL - 38 IS - 2 PB - Sijthoff et Noordhoff International Publishers UR - https://www.numdam.org/item/CM_1979__38_2_163_0/ LA - en ID - CM_1979__38_2_163_0 ER -
Gordon, W. J. Linking the conjectures of Artin-Tate and Birch-Swinnerton-Dyer. Compositio Mathematica, Tome 38 (1979) no. 2, pp. 163-199. https://www.numdam.org/item/CM_1979__38_2_163_0/
[1] : Grothendieck topologies, notes on a seminar. Harvard University Press, Cambridge, Mass. (1962). | Zbl
[2] : Supersingular K3 surfaces, Ann. Sci. E.N.S., 4e série, 7 (1974) 4. | Zbl | MR | Numdam
[3] and : The Shafarevich-Tate conjecture for pencils of elliptic curves on K3 surfaces, Inventiones Math., 20 (1973) 249-266. | Zbl | MR
[4] and : Degenerate fibers and stable reduction of curves, Topology 10 (1974) 373-383. | Zbl | MR
[5] : La conjecture de Weil I, IHES Publ. Math., 43 (1974) 273-307. | Zbl | MR | Numdam
[6] and : The irreducibility of the space of curves of a given genus, IHES Publ. Math., 36 (1969) 75-110. | Zbl | MR | Numdam
[7] Éléments de géométrie algébrique, IHES Publ. Math., 4, 7, 11,... | Numdam
[8] : Formule de Lefschetz et rationalite des fonctions L, Sém. Bourbaki 279 (1964). | Zbl | Numdam
[9] : Le groupe de Brauer II, III. Dix exposés sur la cohomologie des schémas. North-Holland, Amsterdam (1968).
[10] : Les schémas de Picard, Sém. Bourbaki 232 (1962). | Zbl | Numdam
[11] : Abelian varieties. Interscience, New York (1959). | Zbl | MR
[12] : Diophantine geometry. Interscience, New York (1962). | Zbl | MR
[13] : Les formes bilinéaires de Néron et Tate, Sém. Bourbaki 274 (1964). | Numdam | Zbl | MR | EuDML
[ 14] : Rational singularities... , IHES Publ. Math., 36 (1969) 195-280. | Numdam | Zbl | MR | EuDML
[15] : The arithmetic of abelian varieties, Inventiones Math., 17 (1972) 177-190. | Zbl | MR | EuDML
[16] : On a conjecture of Artin and Tate, Annals of Math., 102 (1975) 517-533. | Zbl | MR
[17] : The Brauer group of a rational surface, Inventiones Math., 11 (1970) 304-307. | Zbl | MR | EuDML
[18] : The Tate-Šafarevič group of a constant abelian variety, Inventiones Math., 6 (1968) 91-105. | Zbl | MR | EuDML
[19] : Lectures on curves on an algebraic surface. Princeton University Press, Princeton (1966). | Zbl | MR
[20] : Modèles minimaux des variétés abéliennes sur les corps locaux et globaux, IHES Publ. Math., 21 (1964). | Numdam | Zbl | MR | EuDML
[21] : 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 | Zbl | MR | EuDML
[22] : Spécialization du foncteur de Picard, IHES Publ. Math., 38 (1970) 27-76. | Numdam | Zbl | EuDML
[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] : On the conjecture of Birch and Swinnerton-Dyer and a geometric analogue, Sém. Bourbaki 352 (1%8). | Numdam | Zbl | EuDML
[26] : "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] : Adeles and algebraic groups. Institute for Advanced Study, Princeton (1961).





