Weak Cartan-type second main theorem for holomorphic curves

In this paper, a weak Cartan-type second theorem for holomorphic curve f: C → P ⁿ (C) intersecting hypersurfaces D _j , 1 ≤ j ≤ q, in P ⁿ (C) in general position with degree d _j is given as follows: For every ɛ > 0, there exists a positive integer M such that where “∥” means the estimate holds for all large r outside a set of finite Lebesgue measure. Supported by 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)