A non-integrated hypersurface defect relation for meromorphic maps over complete Kähler manifolds into projective algebraic varieties

Abstract

In this paper, a non-integrated defect relation for meromorphic maps from complete Kähler manifolds M into smooth projective algebraic varieties V intersecting hypersurfaces located in k-subgeneral position (see (1.5) below) is proved. The novelty of this result lies in that both the upper bound and the truncation level of our defect relation depend only on k, dim C (V ) and the degrees of the hypersurfaces considered; besides, this defect relation recovers Hirotaka Fujimoto [6, Theorem 1.1] when subjected to the same condition. Now, the original result of Fujimoto [6, Theorem 1.1] can be stated as follows.