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Endomorphisms of abelian varieties over finite fields

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References

  1. Bourbaki, N.: Algèbre, Ch. 8, § 4, No. 2.

  2. Deuring, M.: Die Typen der Multiplikatorenringe elliptischer Funktionenkörper. Abh. Hamburg14, 197–272 (1941).

    Google Scholar 

  3. Lang, S.: Abelian varieties. New York: Interscience 1959.

    Google Scholar 

  4. Manin, Y.: The theory of commutative formal groups over fields of finite characteristic. Russian math. surveys18, No. 6, 1–81 (1963)

    Google Scholar 

  5. Mumford, D.: Geometric invariant theory. Ergebn. der Math., Bd. 34. Berlin-Heidelberg-New York: Springer 1965.

    Google Scholar 

  6. —: On the equations defining abelian varieties. I. Inventiones math.1, 287–354 (1966).

    Google Scholar 

  7. Serre, J.-P.: Groupes de Liel-adiques attachés aux courbes elliptiques. Colloque Internat. du C.N.R.S. No. 143 a Clermont-Ferrand, Éditions du C.N.R.S., Paris 1966.

    Google Scholar 

  8. Serre, J.-P.: Courbes elliptiques et groupes formels, l'Annuaire du Collége de France, 1965/66.

  9. Shafaryevitch, I.R.: Algebraic Numer Fields. Proceedings of the Internat. Congr. of Math. in Stockholm, 1962, p. 163–176. (A.M.S. Translations, Ser. 2, vol. 31, p. 25–39.)

  10. Tate, J.: Algebraic cycles and poles of zeta functions. Arithmetical algebraic geometry, p. 93–110. New York: Harper & Row 1965.

    Google Scholar 

  11. Tate, J.: On the conjecture of Birch and Swinnerton-Dyer and a geometric analog. Seminaire Bourbaki, 1965/66, exposé 306.

  12. Weil, A.: Variétés abéliennes et courbes algébriques. Act. No. 1064. Paris: Hermann 1948.

    Google Scholar 

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Tate, J. Endomorphisms of abelian varieties over finite fields. Invent Math 2, 134–144 (1966). https://doi.org/10.1007/BF01404549

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