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Weak Cartan-type Second Main Theorem for Holomorphic Curves

Weak Cartan-type Second Main Theorem for Holomorphic Curves
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摘要 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 as follows: For every ε〉0, there exists a positive integer M such that ||(q - (n + 1) ε)Tf(r)≤∑j^q=1 1/dj Nf^M(r,Dj)+o(Tf(r)), where "||" means the estimate holds for all large r outside a set of finite Lebesgue measure. 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 as follows: For every ε〉0, there exists a positive integer M such that ||(q - (n + 1) ε)Tf(r)≤∑j^q=1 1/dj Nf^M(r,Dj)+o(Tf(r)), where "||" means the estimate holds for all large r outside a set of finite Lebesgue measure.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2008年第3期455-462,共8页 数学学报(英文版)
基金 the National Natural Science Foundation of China (No.10571135) Doctoral Program Foundation of the Ministry of Education of China (No.20050240711) Foundation of Committee of Science and Technology of Shanghai(03JC14027)
关键词 holomorphic curve Nevanlinna Theory second main theorem HYPERSURFACE holomorphic curve, Nevanlinna Theory, second main theorem, hypersurface
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参考文献10

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