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New defect relations for meromorphic functions on ${\mathbf{C}}^n $
Author(s):
Bernard
Shiffman
Journal:
Bull. Amer. Math. Soc.
7
(1982),
599-601.
MSC (1980):
Primary 32A22
MathSciNet review:
670135
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References |
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Additional information
References:
- 1.
- J. Carlson and P. Griffiths, A defect relation for equidimensional holomorphic mappings between algebraic varieties, Ann. of Math. (2) 95 (1972), 557-584. MR 311935
- 2.
- C.-T. Chuang, Une généralisation d'une inégalité de Nevanlinna, Sci. Sinica 13 (1964), 887-895. MR 171922
- 3.
- J. Dufresnoy, Sur les valeurs exceptionnelles des fonctions méromorphes voisines d'une fonction méromorphe donnée, C. R. Acad. Sci. Paris Sér. A-B 208 (1939), 255-257.
- 4.
- R. Nevanlinna, Le théorème de Picard-Borel et la théorie des fonctions méromorphes, Gauthier-Villars, Paris, 1929; reprinted by Chelsea, New York, 1974. MR 417418
- 5.
- B. Shiffman, Nevanlinna defect relations for singular divisors, Invent. Math. 31 (1975), 155-182. MR 430325
- 6.
- B. Shiffman, A general Second Main Theorem for meromorphic functions on C, Amer. J. Math. (to appear). MR 745139
- 7.
- W. Stoll, Die beiden Hauptsätze der Wertverteilungstheorie bei Funktionen mehrerer komplexen Veränderlichen. (I), (II), Acta Math. 90 (1953), 1-115; 92 (1954), 55-169. MR 76407
- 8.
- A. Vitter, The lemma of the logarithmic derivative in several complex variables, Duke Math. J. 44 (1977), 89-104. MR 432924
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Additional Information:
DOI:
10.1090/S0273-0979-1982-15066-2
PII:
S 0273-0979(1982)15066-2
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