Bibliographie
Franke, J., Manin, Yu., Tschinkel, Yu.: Rational points of bounded height on Fano varieties. Invent. Math.95, 421–435 (1989)
Schanuel, S.: Heights in number fields. Bull. Soc. Math. France107, 433–449 (1979)
Cornell, G., Silverman, J.H. (eds.): Arithmetic geometry. Berlin Heidelberg New York: Springer 1986
Serre, J.-P.: Autour du théorème de Mordell-Weil. Cours au Collège de France, 1980-81. Braunschweig: Vieweg 1989
Eisenbud, D., Harris, J.: The Kodaira dimensioa of the moduli spaces of curves of genus >23. Invent. Math.90, 359–388 (1987)
Mori, S.: Threefolds whose canonical bundles are not numerically effective. Ann. Math.115, 113–176 (1982)
Langlands, R.P.: On the functional equations satisfied by Eisenstein series. (Lect. Notes Math., Vol. 544) Berlin Heidelberg New York: Springer 1976
Mori, S., Mukai, Sh.: The uniruledness of the moduli space of curves of genus 11. In: (Lecture Notes Math., Vol. 1016, pp. 334–353). Springer 1983
Cohen, S.D.: The distribution of Galois groups and Hilbert's irreducibility theorem. Proc. Lond. Math. Soc.43, 227–250 (1981)
Vojta, P.: Diophantine approximations and value distribution theory. (Lecture Notes in Math., Vol. 1239). Berlin Heidelberg New York: Springer 1987
Mori, S.: Classification of higher-dimensional varieties. In: Proc. Symp. Pure Math., Vol. 45, pp. 269–331. Providence (1987)
Fujiwara, M.: Upper bounds for the number of lattice points on hypersurfaces. In: Number theory and combinatorics. J. Akiyama et al. (eds.), pp. 89–96, Singapore: World Scientific 1985
Shparlinsky, I.E., Skorobogatov, A.N.: Exponential sums and rational points on complete intersections. Preprint 1989
Faltings, G.: Calculus on arithmetic surfaces. Ann. Math.119, 387–424 (1984)
Harder, G.: Chevalley groups over function fields and automorphic forms. Ann. Math.100, 249–306 (1974)
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A Hans Grauert, pour son 60e anniversaire
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Batyrev, V.V., Manin, Y.I. Sur le nombre des points rationnels de hauteur borné des variétés algébriques. Math. Ann. 286, 27–43 (1990). https://doi.org/10.1007/BF01453564
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DOI: https://doi.org/10.1007/BF01453564