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References
Ahlfors, L.: The Theory of Meromorphic Curves. Acta Soc. Sci. Fenn. Ser. A,3, no. 4 (1941)
Cartan, H.: Sur les zéros des combinaisons linéaires dep fonctions holomorphes données. Mathematika (cluj)7, 80–103 (1933)
Chen, W.: Cartan's Conjecture: Defect Relations for Meromorphic Maps from Parabolic Manifold to Projective Space. Thesis. University of Notre Dame: 1987
Cowen, M.: The Kobayashi Metric onP n−(2n+1) Hyperplanes. In: Kujala, R.O., Vitter, Albert III. (eds.) Value-Distribution Theory, Part A pp. 205–223. Marcel Dekker, Inc., New York: 1974
Faltings, G.: Endlichkeitssätze für abelsche Varietäten über Zahlkörpern. Invent. Math.73, 349–366 (1983)
Faltings, G.: Diophantine Approximations on Abelian Varieties. (Preprint 1989)
Lang, S.: Fundamentals of Diophantine Geometry. Berlin Heidelberg New York: Springer 1983
Lang, S.: Hyperbolic and Diophantine Analysis. Bull. Am. Math. Soc.14, 159–205 (1986)
Nochka, E.I.: On the theory of meromorphic functions. Sov. Math. Dokl.27 (2) (1983)
Nochka, E.I.: Defect relations of meromorphic curves (in Russian). Izv. Moldavian Acad. Sc. for Phys. & Math. Sc., no. 1, 41–47 (1982)
Nochka, E.I.: A Theorem in linear algebra (in Russian). izv. Moldavian Acad. Sc. for Phys. & Math. Sc. no. 3, 29–33 (1982)
Osgood, C.F.: A number theoretic-differential equations approach to generalizing Nevanlinna theory. Indian J. Math.23, 1–15 (1981)
Osgood, C.F.: Sometimes effective Thue-Siegel-Roth-Schmidt- Nevanlinna bounds, or better. J. Number Theory21, 347–389 (1985)
Roth, K.F.: Rational approximations to algebraic numbers. Mathematika2, 1–20 (1955)
Schlickewei, H.P.: Thep-adic Thue-Siegel-Roth-Schmidt theorem. Arch. Math.29, 267–270 (1977)
Schmidt, W.M.: Simultaneous Approximation to Algebraic numbers by Elements of a Number Field. Monatsh. Math.79, 55–66 (1975)
Schmidt, W.M.: Diophantine Approximation. (Lect. Notes Math., vol.785) Berlin Heidelberg New York: Springer 1980
Siegel, C.L.: Approximation algebraischer Zahlen. Math. Z.10, 173–213 (1921)
Stoll, W.: Die beiden Hauptsätze der Wertverteilungstheorie bei Funktionen mehrerer komplexen Veränderlichen, I. Acta Math.90, 1–115 (1953), II. Acta Math.92, 55–169 (1954)
Stoll, W.: The Ahlfors-Weyl Theory of Meromorphic Maps on Parabolic Manifolds. (Lect. Notes Math., vol.981, pp. 101–219) Berlin Heidelberg New York: Springer 1983
Thue, A.: Über Annäherungswerte algebraischer Zahlen. J. Reine Angew. Math.135, 284–305 (1909)
Vojta, P.: Diophantine Approximations and Value Distribution Theory. (Lect. Notes Math., vol.1239) Berlin Heidelberg New York: Springer 1987
Vojta, P.: Mordell's conjecture over function fields. Invent. Math.98, 115–138 (1989)
Vojta, P.: Siegel's Theorem in the compact case. (Preprint 1989)
Vojta, P.: A Refinement of Schmidt's Subspace Theorem. Am. J. Math.111, 489–518 (1989)
Wong, P.M.: Defect Relations for Maps on Parabolic Spaces and Kobayashi Metric on Projective Spaces Omitting Hyperplanes. Thesis University of Notre Dame: 1976
Wong, P.M.: On the Second Main Theorem of Nevanlinna Theory. Am. J. Math.111, 549–583 (1989)
Green, M.: Holomorphic maps into complex projective space omitting hyperplanes. Trans. Am. Math. Soc.169, 89–103 (1972)
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Oblatum 4-VI-1990 & 5-III-1991
Research supported in part by NSF grant # DMS 87-02144
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Ru, M., Wong, PM. Integral points of Pn−{2n+1 hyperplanes in general position}. Invent Math 106, 195–216 (1991). https://doi.org/10.1007/BF01243910
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DOI: https://doi.org/10.1007/BF01243910