@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/} }
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 - http://archive.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. http://archive.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. | Numdam | MR | Zbl
:[3] The Shafarevich-Tate conjecture for pencils of elliptic curves on K3 surfaces, Inventiones Math., 20 (1973) 249-266. | MR | Zbl
and :[4] Degenerate fibers and stable reduction of curves, Topology 10 (1974) 373-383. | MR | Zbl
and :[5] La conjecture de Weil I, IHES Publ. Math., 43 (1974) 273-307. | Numdam | MR | Zbl
:[6] The irreducibility of the space of curves of a given genus, IHES Publ. Math., 36 (1969) 75-110. | Numdam | MR | Zbl
and :[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). | Numdam | Zbl
:[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). | Numdam | Zbl
:[11] Abelian varieties. Interscience, New York (1959). | MR | Zbl
:[12] Diophantine geometry. Interscience, New York (1962). | MR | Zbl
:[13] Les formes bilinéaires de Néron et Tate, Sém. Bourbaki 274 (1964). | EuDML | Numdam | MR | Zbl
:[ 14] Rational singularities... , IHES Publ. Math., 36 (1969) 195-280. | EuDML | Numdam | MR | Zbl
:[15] The arithmetic of abelian varieties, Inventiones Math., 17 (1972) 177-190. | EuDML | MR | Zbl
:[16] On a conjecture of Artin and Tate, Annals of Math., 102 (1975) 517-533. | MR | Zbl
:[17] The Brauer group of a rational surface, Inventiones Math., 11 (1970) 304-307. | EuDML | MR | Zbl
:[18] The Tate-Šafarevič group of a constant abelian variety, Inventiones Math., 6 (1968) 91-105. | EuDML | MR | Zbl
:[19] Lectures on curves on an algebraic surface. Princeton University Press, Princeton (1966). | MR | Zbl
:[20] Modèles minimaux des variétés abéliennes sur les corps locaux et globaux, IHES Publ. Math., 21 (1964). | EuDML | Numdam | MR | Zbl
:[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. | EuDML | Numdam | MR | Zbl
:[22] 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] On the conjecture of Birch and Swinnerton-Dyer and a geometric analogue, Sém. Bourbaki 352 (1%8). | EuDML | Numdam | Zbl
:[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).
: