New defect relations for meromorphic functions on ${\mathbf {C}}^n$
Author:
Bernard Shiffman
Journal:
Bull. Amer. Math. Soc. 7 (1982), 599-601
MSC (1980):
Primary 32A22
DOI:
https://doi.org/10.1090/S0273-0979-1982-15066-2
MathSciNet review:
670135
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References | Similar Articles | Additional Information
- James Carlson and Phillip Griffiths, A defect relation for equidimensional holomorphic mappings between algebraic varieties, Ann. of Math. (2) 95 (1972), 557â584. MR 311935, DOI https://doi.org/10.2307/1970871
- Chi-tai Chuang, Une gĂ©nĂ©ralisation dâune inĂ©galitĂ© de Nevanlinna, Sci. Sinica 13 (1964), 887â895 (French). MR 171922 3. J. Dufresnoy, Sur les valeurs exceptionnelles des fonctions méromorphes voisines dâune fonction méromorphe donnée, C. R. Acad. Sci. Paris Sér. A-B 208 (1939), 255-257.
- Rolf Nevanlinna, Le théorÚme de Picard-Borel et la théorie des fonctions méromorphes, Chelsea Publishing Co., New York, 1974 (French). Reprinting of the 1929 original. MR 0417418
- Bernard Shiffman, Nevanlinna defect relations for singular divisors, Invent. Math. 31 (1975), no. 2, 155â182. MR 430325, DOI https://doi.org/10.1007/BF01404113
- Bernard Shiffman, A general second main theorem for meromorphic functions on ${\bf C}^{n}$, Amer. J. Math. 106 (1984), no. 3, 509â513. MR 745139, DOI https://doi.org/10.2307/2374283
- Wilhelm Stoll, Die beiden HauptsĂ€tze der Wertverteilungstheorie bei Funktionen mehrerer komplexer VerĂ€nderlichen. I, Acta Math. 90 (1953), 1â115 (German). MR 76407, DOI https://doi.org/10.1007/BF02392435
- Al Vitter, The lemma of the logarithmic derivative in several complex variables, Duke Math. J. 44 (1977), no. 1, 89â104. MR 432924
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