Acta mathematica scientia, Series B >
ON THE EXISTENCE OF SINGULAR DIRECTIONS OF HOLOMORPHIC MAPS FROM THE UNIT DISK INTO Pn(C)
Received date: 2008-08-30
Revised date: 2009-02-24
Online published: 2010-09-20
Supported by
The project supported in part by the National Natural Science Foundation of China (10971156).
This article proves the existence of Julia directions of value distribution of holomorphic mapping f from the unit disk into the n-dimensional complex projective space Pn(C) under the assumption limits_{r\rightarrow 1^{-}} T(r, f)/ log 1/1-r= +∞ for hypersurfaces in general position. A heuristic principle concerning the existence of Julia directions of holomorphic mappings from the unit disk into Pn(C) is given also.
TU Zhen-Han , ZHANG Sha-Sha . ON THE EXISTENCE OF SINGULAR DIRECTIONS OF HOLOMORPHIC MAPS FROM THE UNIT DISK INTO Pn(C)[J]. Acta mathematica scientia, Series B, 2010 , 30(5) : 1631 -1639 . DOI: 10.1016/S0252-9602(10)60156-7
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