An improvement of non-integrated defect relation for meromorphic maps from Kahler manifolds with arbitrary hypersurfaces

Abstract

Our purpose in this paper is to establish a non-integrated defect relation for meromorphic mappings from a complete Kahler manifold into a projective variety intersecting an arbitrary family of hypersurfaces with explicit truncation level. In our result, both the above bound of the total defect and the truncation level are estimated independently of the number of involving hypersurfaces. Our result generalizes and improves the previous results in this topic.Comment: 15 pages. arXiv admin note: text overlap with arXiv:1712.0569