Document Zbl 0205.24901

Extensions of abelian varieties defines over a finite field. (English) Zbl 0205.24901

Invent. Math. 5, 63-84 (1968).

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MSC:

14K15	Arithmetic ground fields for abelian varieties
14G15	Finite ground fields in algebraic geometry
14F99	(Co)homology theory in algebraic geometry

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References:

[1]	Gabriel, P.: Sur les catégories abéliennes localement noethériennes et leurs applications aux algèbres etudiées par Dieudonné, in Séminaire J.-P. Serre, 1960.
[2]	Jacobson, N.: The theory of rings. Mathematical Surveys II. New York: Interscience 1943. · Zbl 0060.07302
[3]	Lang, S.: Abelian varieties. Interscience Tracts No. 7. New York: Interscience 1959.
[4]	Manin, Yu. I.: The theory of commutative formal groups over fields of finite characteristic. Russian Math. Surveys18, 1-83 (1963). · Zbl 0128.15603 · doi:10.1070/RM1963v018n06ABEH001142
[5]	Mitchell, B.: Theory of categories. New York: Academic Press 1965. · Zbl 0136.00604
[6]	Oda, T.: Abelian varieties over a perfect field and Dieudonné modules. Thesis, Harvard University, 1967.
[7]	Oort, F.: Commutative group schemes. Lecture Notes in Math. 15. Berlin-Heidelberg-New York: Springer 1966. · Zbl 0216.05603
[8]	Serre, J.-P.: Groupesp-divisible (d’aprèsJ. Tate). Séminaire Bourbaki, 1966/67, No. 318.
[9]	Sharma, P.: In: Séminaire Heidelberg-Strasbourg 1965/66, Groupes algébriques linéaires. Publ. IRMA, Strasbourg, 1967.
[10]	Tate, J.: On the conjectures ofBirch andSwinnerton-Dyer and a geometric analogue. Séminaire Bourbaki, 1965/66, No. 306.
[11]	Tate, J.:p-divisible groups. Notes of the Conference at Driebergen, 1966, to be published by Springer.
[12]	?: Endomorphisms of abelian varieties over finite fields. Inventiones math.2, 134-144 (1966). · Zbl 0147.20303 · doi:10.1007/BF01404549
[13]	Tate, J.: Endomorphisms of abelian varieties over finite fields, (II). To appear, Inventiones math. · Zbl 0147.20303

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