ON DEFECT AND TRUNCATED RELATIONS FOR HOLOMORPHIC CURVES INTO LINEAR SUBSPACES

Ha Tran Phuong; Mai Van Tu

Ha Tran Phuong
Mai Van Tu

Keywords: algebraically non-degenerate holomorphic maps, defect relation, holomorphic curves, Nevanlinna theory

Abstract

In 2004, M.Ru established a defect relation for algebraically nondegenerate holomorphic maps. Recently, T.T.H. An and H.T. Phuong proved an inequality of the second main theorem type, with ramiﬁcation for holomorphic curves. In this paper we will establish a truncated defect relation for holomorphic curves into linear subspaces.