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Acta Mathematica Vietnamica

CARTAN-NOCHKA THEOREM WITH TRUNCATED COUNTING FUNCTIONS FOR MOVING TARGETS

DO DUC THAI, SI DUC QUANG

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.