A Second Main Theorem for Holomorphic Maps into the Projective Space with Hypersurfaces

In this paper, the study will focus on the hypersurfaces in the projective space located in subgeneral position. By considering the number of irreducible components of these hypersurfaces, a new second main theorem is established for algebraically non-degenerate holomorphic maps from C\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {C}$$\end{document} into the projective space with truncated counting functions. Moreover, as the counterpart of this second main theorem, a Schmidt’s subspace type theorem in Diophantine approximation is also given for this case.