Keywords
- Line Bundle
- Distribution Theory
- Compact Riemann Surface
- Holomorphic Section
- Defect Relation
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References
L. Ahlfors, The theory of meromorphic curves, Acta Soc. Sci. Fenn, Nova Ser. A 3(4) (1941), 171–183.
A. Biancofiore, A hypersurface defect relation for a class of meromorphic maps, Trans. Amer. Math. Soc. 270 (1982), 47–60.
E. Bishop, Conditions for analyticity of certain sets, Michigan Math. J. 11 (1964), 289–304.
J. Carlson and Ph. Griffiths, Defect relation for equidimensional holomorphic mappings between algebraic varieties, Ann. of Math. 95 (1972), 557–584.
M. Cowen and Ph. Griffiths, Holomorphic curves and metrics of nonnegative curvature, J. Analyse Math. 29 (1976), 93–153.
E. El Mir, Sur le prologement des courants positifs fermés de masse finie, C.R. Acad. Sci. Paris 264 (1982), 181–184.
M. Green, Some Picard theorems for holomorphic maps to algebraic varieties, Amer. J. Math. 97 (1975), 43–75.
J. Noguchi, Holomorphic curves in algebraic varieties, Hiroshima Math. J. 7 (1977), 833–853.
R. Remmert and K. Stein, Über die wesentlichen Singularitäten analytischer Mengen, Math. Ann. 126 (1953), 263–306.
B. Shiffman, Nevanlinna defect relations for singular divisors, Invent. Math. 31 (1975), 155–182.
B. Shiffman, On holomorphic curves and meromorphic maps in projective spaces, Indiana Univ. Math. J. 28 (1979), 627–641.
N. Sibony, Quelques problèmes de prolongement de courants en analyse complexe, Duke Math. J. 52 (1985), 157–197.
H. Skoda, Prolongement des courants, positifs, fermés, de masse finie, Invent. Math. 66 (1982), 361–376.
W. Stoll, The growth of the area of a transcendental analytic set I, II, Math. Ann. 156 (1964), 144–170.
W. Stoll, Value distribution of holomorphic maps into compact, complex manifolds, Lecture Notes in Mathematics 135 (1970) Springer-Verlag.
W. Stoll, The Ahlfors-Weyl theory of meromorphic maps on parabolic manifolds, Lecture Notes in Mathematics 981 (1983), 101–219.
P. Thullen, Über die wesentlichen Singularitäten analytischer Funktionen und Flächen im Raume von n komplexen Veränderlichen, Math. Ann. 111 (1935), 137–157.
H. Weyl and J. Weyl, Meromorphic curves, Ann. of Math. 39 (1938), 516–538.
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© 1986 Springer-Verlag
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Siu, YT. (1986). Nonequidimensional value distribution theory and subvariety extension. In: Grauert, H. (eds) Complex Analysis and Algebraic Geometry. Lecture Notes in Mathematics, vol 1194. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077003
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DOI: https://doi.org/10.1007/BFb0077003
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