References
Gabriel, P.: Sur les catégories abéliennes localement noethériennes et leurs applications aux algèbres etudiées par Dieudonné, in Séminaire J.-P. Serre, 1960.
Jacobson, N.: The theory of rings. Mathematical Surveys II. New York: Interscience 1943.
Lang, S.: Abelian varieties. Interscience Tracts No. 7. New York: Interscience 1959.
Manin, Yu. I.: The theory of commutative formal groups over fields of finite characteristic. Russian Math. Surveys18, 1–83 (1963).
Mitchell, B.: Theory of categories. New York: Academic Press 1965.
Oda, T.: Abelian varieties over a perfect field and Dieudonné modules. Thesis, Harvard University, 1967.
Oort, F.: Commutative group schemes. Lecture Notes in Math. 15. Berlin-Heidelberg-New York: Springer 1966.
Serre, J.-P.: Groupesp-divisible (d'aprèsJ. Tate). Séminaire Bourbaki, 1966/67, No. 318.
Sharma, P.: In: Séminaire Heidelberg-Strasbourg 1965/66, Groupes algébriques linéaires. Publ. IRMA, Strasbourg, 1967.
Tate, J.: On the conjectures ofBirch andSwinnerton-Dyer and a geometric analogue. Séminaire Bourbaki, 1965/66, No. 306.
Tate, J.:p-divisible groups. Notes of the Conference at Driebergen, 1966, to be published by Springer.
—: Endomorphisms of abelian varieties over finite fields. Inventiones math.2, 134–144 (1966).
Tate, J.: Endomorphisms of abelian varieties over finite fields, (II). To appear, Inventiones math.
Author information
Authors and Affiliations
Additional information
This research was partially supported by the National Science Foundation under contract NSF GP 6432. The paper is based partly on the author's Ph. D. thesis at Harvard University.
Rights and permissions
About this article
Cite this article
Milne, J.S. Extensions of abelian varieties defined over a finite field. Invent Math 5, 63–84 (1968). https://doi.org/10.1007/BF01404538
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01404538