Weak Cartan-type Second Main Theorem for Holomorphic Curves

被引:0
作者
Qi Ming YAN Department of MathematicsTongji UniversityShanghai PRChina Zhi Hua CHEN Department of MathematicsTongji UniversityShanghai PRChina [200092 ,200092 ]
机构
关键词
holomorphic curve; Nevanlinna Theory; second main theorem; hypersurface;
D O I
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中图分类号
O186.11 [古典微分几何];
学科分类号
0701 ; 070101 ;
摘要
<正> In this paper,a weak Cartan-type second theorem for holomorphic curve f:C→P~n(C)intersecting hypersurfaces Dj,1≤j≤q,in P~n(C)in general position with degree dj is given asfollows:For every ε>0,there exists a positive integer M such that ‖(q-(n+1)-ε)T_f(r)≤∑j=1q 1/dj N_fM(r,Dj)+o(T_f(r)),where"‖"means the estimate holds for all large r outside a set of finiteLebesgue measure.
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页码:455 / 462
页数:8
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