Acta Mathematica Vietnamica

Acta Mathematica Vietnamica

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CARTAN-NOCHKA THEOREM WITH TRUNCATED COUNTING FUNCTIONS FOR MOVING TARGETS

DO DUC THAI, SI DUC QUANG

pp. 173-197

Abstract

The purpose of this article is twofold. The first is to show the explicit truncations in the Cartan-Nochka theorem for nonconstant meromorphic mappings of $\mathbf{C}^m$ into $\mathbf{P}^n(\mathbf{C})$ and moving targets. The second is to show the above type theorem over function fields.