On Meromorphically Normal Families of Meromorphic Mappings of Several Complex Variables into P(C) |
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| Authors: | Zhen-han Tu |
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| Institution: | Department of Mathematics, Huazhong University of Science and Technology, Wuhan, Hubei, 430074, People's Republic of Chinaf1tuzhenhan@yahoo.comf1 |
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| Abstract: | We shall prove some meromorphic normality criteria for families of meromorphic mappings of several complex variables into PN(C), the complex N-dimensional projective space, related to Nochka's Picard type theorems. Some related results (e.g., extension theorems, improved normality criteria, and quasi-normality criteria) will be obtained also. The technique in this paper mainly depends on Stoll's normality criteria for families of non-negative divisors on a domain of Cn. |
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| Keywords: | complex projective spaces extension theorems hyperplanes in general position meromorphic mappings non-negative divisors normal families Picard type theorems |
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