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Bibliography
F. BOGOMOLOV.-Sur l’algébricité des représentations ł-adiques. C. R. Acad. Sc. t. 290, p. 701–704 (1980).
H. GRAUERT.-Mordells Vermutung über Punkte auf algebraischen Kurven und Funktionenkörper. Publ. Math. I.H.E.S. 25, p. 131–149 (1965).
M. GREENBERG.-Schemata over local rings. Annals of Math. t. 73, p. 624–648 (1961).
A. GROTHENDIECK.-Technique de descente et théorèmes d’existence en géométrie algébrique V et VI: les schémas de Picard. Sem. Bourbaki Nos 232 et 236 (1961/1962).
A. GROTHENDIECK and J. DIEUDONNÉ.-Eléments de géométrie algébrique (ref. EGA). Pub. Math. IHES 4, 8, …
R. HARTSHORNE.-Ample subvarieties of algebraic varieties. Springer Verlag, Lecture Notes 156 (1970).
L. ILLUSIE.-Complexe de de Rham-Witt et cohomologie cristalline. Ann. Scient. de l’ENS, 4e série, t. 12, p. 501–661 (1979).
S. LANG.-Abelian varieties. Interscience Publishers, New York (1958).
S. LANG.-Division points on curves. Annali di matematica pura ed applicata (IV), vol. LXX, p. 229–234 (1965).
S. LANG and A. NERON.-Rational points of abelian varieties over function fields. Amer. J. of Maths. vol. LXXXI, p. 95–118 (1959).
J.I. MANIN.-Rational points of algebraic curves on function fields (in russian). Izvestija Akad. Nauk SSSSR, Mat. ser. t. 27, p. 1395–1440 (1963).
J. NOGUCHI and T. SUNADA.-Finiteness of the family of rational and meromorphic mappings into algebraic varieties. Amer. J. of Maths. Vol. 104, No 4, p. 887–900 (1982).
M. RAYNAUD.-Spécialisation du foncteur de Picard. Publ. Math. IHES 38 (1970).
M. RAYNAUD.-Courbes sur une variété abélienne et points de torsion. To appear in Invent. Math.
M. RAYNAUD.-Sous-variété d’une variété abélienne et points de torsion. To appear.
J.-P. SERRE.-Corps locaux à corps résiduel algébriquement clos. Bull. Soc. Math. Fr. t. 89, p. 105–154 (1961).
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Raynaud, M. (1983). Around the Mordell conjecture for function fields and a conjecture of Serge Lang. In: Raynaud, M., Shioda, T. (eds) Algebraic Geometry. Lecture Notes in Mathematics, vol 1016. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099956
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DOI: https://doi.org/10.1007/BFb0099956
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