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Arithmetic of formal groups and applications I: Universal norm subgroups

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References

  1. Bourbaki, N.: Commutative Algebra. Paris: Hermann 1972

    Google Scholar 

  2. Bourbaki, N.: Groupes et algèbres de Lie. Paris: Hermann 1972

    Google Scholar 

  3. Breen, L.: Rapport sur la théorie de Dieudonné. In: Journées de Géométrie Algébrique de Rennes, vol. I. Astérisque63, 39–66 (1979)

  4. Demazure, M.: Lectures onp-Divisible Groups. Lecture Notes in Math., vol. 302. Berlin-Heidelberg-New York: Springer 1972

    Google Scholar 

  5. Demazure, M., Gabriel, P.: Groupes Algébriques I. Amsterdam: North-Holland 1970

    Google Scholar 

  6. Fontaine, J.-M.: Groupesp-divisibles sur les corps locaux. Astérisque47–48 (1977)

  7. Gabriel, P.: Des catégories abéliennes. Bull. Soc. Math. France90, 323–348 (1962)

    Google Scholar 

  8. Hazewinkel, M.: Norm maps for formal groups I: J. Algebra32, 89–108 (1974); II: J. Reine Angew. Math.268/269, 222–250 (1974); III: Duke Math. J.44, 305–314 (1977); IV: Michigan Math. J.25, 245–255 (1978)

    Google Scholar 

  9. Iwasawa, K.: On some properties of Γ-finite modules. Ann. Math.70, 291–312 (1959)

    Google Scholar 

  10. Konovalov, G.: The universal Γ-norms of formal groups over a local field. Ukr. Mat. J.28, 396–398 (1976)

    Google Scholar 

  11. Kurčanov, P.F.: On the rank of elliptic curves over Γ-extensions. Math. USSR, Sb.22, 465–472 (1974)

    Google Scholar 

  12. Lubin, J., Rosen, M.: The norm map for ordinary abelian varieties. J. Algebra52, 236–240 (1978)

    Google Scholar 

  13. Mazur, B.: Local flat duality. Am. J. Math.92, 343–361 (1970)

    Google Scholar 

  14. Mazur, B.: Rational points of abelian varieties with values in towers of number fields. Invent. math.18, 183–266 (1972)

    Google Scholar 

  15. Schneider, P.: IwasawaL-functions of varieties over algebraic number fields. A first approach. Invent. math.71, 251–293 (1983)

    Google Scholar 

  16. Schneider, P.:p-adic height pairings, II. Invent. math.79, 329–374 (1985)

    Google Scholar 

  17. Tate, J.:p-Divisible Groups. In: Proc. Conf. Local Fields, Driebergen 1966, pp. 158–183 Berlin-Heidelberg-New York: Springer 1967

    Google Scholar 

  18. Vvedenskij, O.N.: On universal norms of formal groups defined over the ring of integers of a local field. Math. USSR, Izv7, 733–747 (1973)

    Google Scholar 

  19. EGA I.Grothendieck, A., Dieudonné, J.-A.: Eléments de Géométrie Algébrique I. Berlin-Heidelberg-New York: Springer 1971

    Google Scholar 

  20. Demazure, M., Grothendieck, A.: Schémas en Groupes I. Lecture Notes in Math., vol. 151. Berlin-Heidelberg-New York: Springer 1970

    Google Scholar 

  21. Artin, M., Grothendieck, A., Verdier, J.L.: Théorie des Topos et Cohomologie Etale des Schémas. Lecture Notes in Math., vol. 305. Berlin-Heidelberg-New York: Springer 1973

    Google Scholar 

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  1. Mathematisches Institut der Universität Köln, Weyertal 86-90, D-5000, Köln 41, Bundesrepublik Deutschland

    Peter Schneider

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  1. Peter Schneider
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Schneider, P. Arithmetic of formal groups and applications I: Universal norm subgroups. Invent Math 87, 587–602 (1987). https://doi.org/10.1007/BF01389244

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