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Literatur
Arakelov, S.: Families of curves with fixed degeneracies. Math. USSR Izvestija5, 1277–1302 (1971)
Arakelov, S.: An Intersection theory for divisors on an arithmetic surface. Math. USSR Izvestija8, 1167–1180 (1974)
Baily, W.L., Borel, A.: Compactification of arithmetic quotients of bounded symmetric domains. Ann. of Math.84, 442–528 (1966)
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)
Faltings, G.: Calculus on arithmetic surfaces. Eingereicht bei Ann. of Math.
Faltings, G.: Arakelov's theorem for abelian varieties. Invent. math.73, 337–347 (1983)
Moret-Bailly, L.: Variétés abéliennes polarisées sur les corps de fonctions. C.R. Acad. Sc. Paris296, 267–270 (1983)
Namikawa, Y.: Toroidal compactification of Siegel spaces. Lecture Notes in Mathematics, vol. 812. Berlin-Heidelberg-New York: Springer 1980
Parshin, A.N.: Algebraic curves over function fields I. Math. USSR Izvestija2, 1145–1170 (1968)
Raynaud, M.: Schémas en groupes de type (p, ...,p). Bull. Soc. Math. France102, 241–280 (1974)
Szpiro, L.: Sur le théorème de rigidité de Parsin et Arakelov. Astérisque64, 169–202 (1979)
Szpiro, L.: Séminaire sur les pinceaux de courbes de genre au moins deux. Astérisque86 (1981)
Tate, J.:p-divisible groups. Proceedings of a conference on local fields, Driebergen 1966, pp. 158–183, Berlin-Heidelberg-New York: Springer 1967
Tate, J.: Endomorphisms of abelian varieties over finite fields. Invent. math.2, 134–144 (1966)
Zarhin, J.G.: Isogenies of abelian varieties over fields of finite characteristics. Math. USSR Sbornik24, 451–461 (1974)
Zarhin, J.G.: A remark on endomorphisms of abelian varieties over function fields of finite characteristics. Math. USSR Izvestija8, 477–480 (1974)
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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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DOI: https://doi.org/10.1007/BF01388432