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References
L. V. Ahlfors, Beiträge zur Theorie der meromorphen Funktionen, C. R. 7e Congrès des Math. Scand. (Oslo, 1929), 84–88, Oslo, 1930.
L. V. Ahlfors, The theory of meromorphic curves. Acta Soc. Sci. Fenn. Nova Ser A 3 (4) (1941), 1–31.
A. Biancofiore, A hypersurface defect relation for a class of meromorphic maps, Trans. Amer. Math. Soc. 270 (1982), 47–80.
J. Carlson and Ph. Griffiths, Defect relation for equidimensional holomorphic mappings between algebraic varieties, Ann. of Math. 95 (1972), 557–584.
H. Cartan, Sur les zéros des combinaisons linéaires de p fonctions holomorphes données, Mathematica 7 (1933), 80–103.
M. Cowen and Ph. Griffiths, Holomorphic curves and metrics of non-negative curvature, J. Analyse Math. 29 (1976), 93–153.
G. Faltings, Endlichkeitssätze für abelsche Varietäten über Zahlkörpern, Invent. Math. 73 (1983), 349–366.
M. Green, Some Picard theorems for holomorphic maps to algebraic varieties, Amer. J. Math. 97 (1975), 43–75.
Ph. Griffiths and J. King, Nevanlinna theory and holomorphic mappings between algebraic varieties, Acta Math. 130 (1973), 145–220.
F. Nevanlinna, Über die Anwendung einer Klasse von uniformisierenden Transzendenten zur Untersuchung der Wertverteilung analytischer Funktionen, Acta Math. 50 (1927), 159–188.
R. Nevanlinna, Le théorème de Picard-Borel et la théorie des fonctions méromorphes, Gauthier Villars, Paris, 1929, reprint Chelsea Publ. Co., New York, 1974.
R. Nevanlinna, Eindeutige analytische Funktionen, Berlin, 1936.
J. Noguchi, Holomorphic curves in algebraic varieties, Hiroshima Math. J. 7 (1977), 833–853.
K. F. Roth, Rational approximations to algebraic numbers, Mathematika 2 (1955), 1–20, Corrigendum, ibid, 168.
B. Shiffman, On holomorphic curves and meromorphic maps in projective spaces, Indiana Univ. Math. J. 28 (1979), 627–641.
B. Shiffman, Private communication, 1986.
T. Shimizu, On the theory of meromorphic functions, Japanese Journal of Mathematics 6 (1929), 119–171.
Y. T. Siu, Nonequidimensional value distribution theory and subvariety extension, Complex Analysis and Algebraic Geometry (Göttingen, 1985), 158–174, Lecture Notes in Math., 1194, Springer-Verlag, 1986.
Y. T. Siu, Defect relations for holomorphic maps between spaces of different dimensions, Duke Math. J. 55 (1987), 213–251.
Y. T. Siu, Nonequidimensional value distribution theory and meromorphic connections, preprint, 1987.
W. Stoll, Die beiden Hauptsätze der Wertverteilungstheorie bei Funktionen mehrerer komplexen Veränderlichen, I. Acta Math. 90 (1953), 1–115, II. Acta Math. 92 (1954), 55–169.
W. Stoll, About the value distribution of holomorphic maps into projective space, Acta Math. 123 (1969), 83–114.
P. Vojta, A higher dimensional Mordell conjecture, Arithmetic Geometry (Storrs, Conn., 1984), 341–353, Springer-Verlag, 1986.
H. Weyl and J. Weyl, Meromorphic curves, Ann. of Math. 39 (1938), 516–538.
H. Weyl and J. Weyl, Meromorphic functions and analytic curves, Ann. of Math. Stud., 12, Princeton University Press, Princeton, N.J., 1943.
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Siu, YT. (1988). Nonequidimensional value distribution theory. In: Laine, I., Sorvali, T., Rickman, S. (eds) Complex Analysis Joensuu 1987. Lecture Notes in Mathematics, vol 1351. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081264
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DOI: https://doi.org/10.1007/BFb0081264
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