@article{ASENS_1969_4_2_4_521_0, author = {Waterhouse, William C.}, title = {Abelian varieties over finite fields}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, pages = {521--560}, publisher = {Elsevier}, volume = {Ser. 4, 2}, number = {4}, year = {1969}, doi = {10.24033/asens.1183}, mrnumber = {42 #279}, zbl = {0188.53001}, language = {en}, url = {http://archive.numdam.org/articles/10.24033/asens.1183/} }
TY - JOUR AU - Waterhouse, William C. TI - Abelian varieties over finite fields JO - Annales scientifiques de l'École Normale Supérieure PY - 1969 SP - 521 EP - 560 VL - 2 IS - 4 PB - Elsevier UR - http://archive.numdam.org/articles/10.24033/asens.1183/ DO - 10.24033/asens.1183 LA - en ID - ASENS_1969_4_2_4_521_0 ER -
Waterhouse, William C. Abelian varieties over finite fields. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 2 (1969) no. 4, pp. 521-560. doi : 10.24033/asens.1183. http://archive.numdam.org/articles/10.24033/asens.1183/
[1] Algèbre, chap. VIII, Hermann, Paris, 1958.
,[2] Algèbre commutative, chap. II, Hermann, Paris, 1961.
,[3] Diophantine equations with special reference to elliptic curves (J. London Math. Soc., vol. 41, 1966, p. 193-291). | MR | Zbl
,[4] On the theory of orders (Math. Ann., vol. 148, 1962, p. 31-64). | MR | Zbl
, and ,[5] Algebren (Ergeb. der Math., IV.1, Springer, Berlin, 1935). | JFM | Zbl
,[6] Die Typen der Multiplikatorenringe elliptischer Funktionenkörper (Abh. Math. Sem. Hamburg, Bd. 14, 1941, p. 197-272). | JFM | MR | Zbl
,[7] Zur Zahlentheorie der Quaternionen-Algebren (J. Reine Angew. Math., Bd. 195, 1955, p. 127-151). | MR | Zbl
,[8] Isogeny classes of abelian varieties over finite fields (J. Math. Soc. Japan, vol. 20, 1968, p. 83-95). | MR | Zbl
,[9] Hecke polynomials as congruence ζ functions in elliptic modular case (Ann. of Math., (2), vol. 85, 1967, p. 267-295). | MR | Zbl
,[10] Abelian Varieties, Interscience, New York, 1959. | MR | Zbl
,[11] Elliptic curves and formal groups; in Lecture Notes, Woods Hole Institute in Algebraic Geometry, privately printed, 1964.
, and ,[12] The first de Rham cohomology group and Dieudonné modules (Ann. scient. Éc. Norm. Sup., (4), t. 2, 1969, p. 63-135). | Numdam | MR | Zbl
,[13] Commutative Group Schemes (Lecture Notes in Math., 15, Springer, Berlin, 1966). | MR | Zbl
,[14] Algèbre et géométrie, Annuaire Coll. de France, Paris, 1965-1966, p. 45-49.
,[15] Complex multiplication; in J. W. S. Cassels and A. Fröhlich (eds.), Algebraic Number Theory, Academic Press, London, 1967. | MR
,[16] Groupes p-divisibles (d'après J. Tate), Sém. Bourbaki, 318, 1966-1967. | Zbl
,[17] Complex Multiplication of Abelian Varieties, Publ. Math. Soc. Japan, 6, Tokyo, 1961. | MR | Zbl
and ,[18] Endomorphisms of abelian varieties over finite fields (Invent. Math., vol. 2, 1966, p. 134-144). | MR | Zbl
,[19] Endomorphisms of abelian varieties over finite fields. II (Invent. Math., to appear).
,[20] p-divisible groups; in T.A. Springer (ed.), Local Fields, Springer, Berlin, 1967. | MR | Zbl
,[21] A classification of almost full formal groups (Proc. Amer. Math. Soc., vol. 20, 1969, p. 426-428). | MR | Zbl
,[22] Variétés abéliennes et courbes algébriques, Hermann, Paris, 1948. | MR | Zbl
,[23] Remarque sur une formule de Shimura-Taniyama (Invent. Math., t. 5, 1968, p. 231-236). | MR | Zbl
,[24] Classes d'isogénie des variétés abéliennes sur un corps fini (d'après T. Honda), Sém. Bourbaki, 358, 1968-1969.
,Cité par Sources :