Acta Mathematica Sinica, English Series

, Volume 24, Issue 3, pp 455–462 | Cite as

Weak Cartan-type second main theorem for holomorphic curves

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Abstract

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 \( \left\| {(q - (n + 1) - \varepsilon )T_f (r)} \right. \leqslant \sum\nolimits_{j = 1}^q {\frac{1} {{d_j }}} N_f^M (r,D_j ) + o(T_f (r)) \) where “∥” means the estimate holds for all large r outside a set of finite Lebesgue measure.

Keywords

holomorphic curve Nevanlinna Theory second main theorem hypersurface 

Mr(2000) subject classification

32H25 32Q45 
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Copyright information

© Springer-Verlag 2008

Authors and Affiliations

  1. 1.Department of MathematicsTongji UniversityShanghaiP. R. China

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