ON THE SECOND MAIN THEOREM FOR HOLOMORPHIC CURVES INTO LINEAR PROJECTIVE SUBSPACE

Abstract

Value distribution theory for holomorphic curves which also known as Nevanlinna-Cartan theory was originated by the work of H. Cartan in 1933. Since that time, it had attracted the attention of many mathematicians and had many important publications and it had many applications in different areas of mathematics. Recently, J. M. Anderson and A. Hinkkanen introduced the integrated reduced counting functions for holomorphic curves and proved an improved version of second main theorem for holomorphic curves with integrated reduced counting functions in the complex case. Our idea here is to consider the Anderson and A. Hinkkanen's result for the case of holomorphic curves into a linear projective subspace. The main result in this paper is Main Theorem, which is an improved of second main theorem for holomorphic curves with reduced counting functions.