THE SECOND MAIN THEOREM FOR HYPERSURFACES

Abstract

The purpose of this article is twofold. The first is to show the Second Main Theorem for degenerate holomorphic curves into Pⁿ(C) with hypersurface targets located in n-subgeneral position. The second is to show the Second Main Theorem with truncated counting functions for nondegenerate holomorphic curves into Pⁿ(C) with hypersurface targets in general position. Finally, by applying the above result, a unicity theorem for algebraically nondegenerate curves into P²(C) with hypersurface targets in general position is also given.