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Endlichkeitssätze für abelsche Varietäten über Zahlkörpern

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Literatur

  1. Arakelov, S.: Families of curves with fixed degeneracies. Math. USSR Izvestija5, 1277–1302 (1971)

    Google Scholar 

  2. Arakelov, S.: An Intersection theory for divisors on an arithmetic surface. Math. USSR Izvestija8, 1167–1180 (1974)

    Google Scholar 

  3. Baily, W.L., Borel, A.: Compactification of arithmetic quotients of bounded symmetric domains. Ann. of Math.84, 442–528 (1966)

    Google Scholar 

  4. Deligne, P., Mumford, D.: The irreducibility of the space of curves of a given genus. Publ. math. I.H.E.S.36, 75–110 (1969)

    Google Scholar 

  5. Faltings, G.: Calculus on arithmetic surfaces. Eingereicht bei Ann. of Math.

  6. Faltings, G.: Arakelov's theorem for abelian varieties. Invent. math.73, 337–347 (1983)

    Google Scholar 

  7. Moret-Bailly, L.: Variétés abéliennes polarisées sur les corps de fonctions. C.R. Acad. Sc. Paris296, 267–270 (1983)

    Google Scholar 

  8. Namikawa, Y.: Toroidal compactification of Siegel spaces. Lecture Notes in Mathematics, vol. 812. Berlin-Heidelberg-New York: Springer 1980

    Google Scholar 

  9. Parshin, A.N.: Algebraic curves over function fields I. Math. USSR Izvestija2, 1145–1170 (1968)

    Google Scholar 

  10. Raynaud, M.: Schémas en groupes de type (p, ...,p). Bull. Soc. Math. France102, 241–280 (1974)

    Google Scholar 

  11. Szpiro, L.: Sur le théorème de rigidité de Parsin et Arakelov. Astérisque64, 169–202 (1979)

    Google Scholar 

  12. Szpiro, L.: Séminaire sur les pinceaux de courbes de genre au moins deux. Astérisque86 (1981)

  13. Tate, J.:p-divisible groups. Proceedings of a conference on local fields, Driebergen 1966, pp. 158–183, Berlin-Heidelberg-New York: Springer 1967

    Google Scholar 

  14. Tate, J.: Endomorphisms of abelian varieties over finite fields. Invent. math.2, 134–144 (1966)

    Google Scholar 

  15. Zarhin, J.G.: Isogenies of abelian varieties over fields of finite characteristics. Math. USSR Sbornik24, 451–461 (1974)

    Google Scholar 

  16. Zarhin, J.G.: A remark on endomorphisms of abelian varieties over function fields of finite characteristics. Math. USSR Izvestija8, 477–480 (1974)

    Google Scholar 

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  1. Fachbereich Mathematik, Bergische Universitäts-Gesamthochschule Wuppertal, Gaußstr. 20, D-5600, Wuppertal 1, Bundesrepublik Deutschland

    G. Faltings

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  1. G. Faltings
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Faltings, G. Endlichkeitssätze für abelsche Varietäten über Zahlkörpern. Invent Math 73, 349–366 (1983). https://doi.org/10.1007/BF01388432

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