THE SECOND MAIN THEOREM FOR HYPERSURFACES

摘要

The purpose of this article is twofold. The first is to show the Second Main Theorem for degenerate holomorphic curves into P~n(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 P~n(C) with hypersurface targets in general position. Finally, by applying the above result, a unicity theorem for algebraically nondegenerate curves into P~2(C) with hypersurface targets in general position is also given.