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.
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)