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Our purpose in this paper is to establish a non-integrated defect relationfor meromorphic mappings from a complete Kahler manifold into a projectivevariety intersecting an arbitrary family of hypersurfaces with explicittruncation level. In our result, both the above bound of the total defect andthe truncation level are estimated independently of the number of involvinghypersurfaces. Our result generalizes and improves the previous results in thistopic.

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