The error term of holomorphic mappings in Nevanlinna theory

Ye, Zhuan

doi:10.1090/S0002-9939-1995-1277142-2

The error term of holomorphic mappings in Nevanlinna theory
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by Zhuan Ye

Proc. Amer. Math. Soc. 123 (1995), 2155-2164

DOI: https://doi.org/10.1090/S0002-9939-1995-1277142-2

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Abstract:

We construct a holomorphic mapping from ${\mathbb {C}^m}$ to ${\mathbb {P}^n}$ for any m and n with $m \geq n \geq 1$ which shows Cherry-Lang-Wong’s upper bound of the error term of the Second Main Theorem in Nevanlinna theory is essentially the best possible. Thus a question of Serge Lang is answered affirmatively in higher dimensions.

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