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Acta Mathematica Vietnamica

The second main theorem for meromorphic mappings into a complex projective space

Do Phuong An , Si Duc Quang , icon-email Do Duc Thai

Abstract

The main purpose of this article is to show the Second Main Theorem for meromorphic mappings of $\mathbb C^m$ into $\mathbb P^n(C)$ intersecting hypersurfaces in subgeneral position with truncated counting functions. As an application of the above theorem, we give two unicity theorems for meromorphic mappings of $\mathbb C^m$ into $\mathbb P^n(\mathbb C)$ sharing few hypersurfaces without counting multiplicity.