Improvement of non-integrated defect relation for meromorphic maps from K\"{a}hler manifolds
Complex Variables
2026-02-17 v2
Abstract
The purpose of this paper is to establish a non-integrated defect relation for meromorphic mappings from a complete K\"{a}hler manifold into a projective variety intersecting an arbitrary family of hypersurfaces with explicit truncation level. In our result, both 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.
Keywords
Cite
@article{arxiv.2301.08885,
title = {Improvement of non-integrated defect relation for meromorphic maps from K\"{a}hler manifolds},
author = {Tran Duc Ngoc and Si Duc Quang},
journal= {arXiv preprint arXiv:2301.08885},
year = {2026}
}
Comments
This final version is published in Complex Variables and Elliptic Equation (2024). arXiv admin note: text overlap with arXiv:1712.05698, arXiv:1610.08390, arXiv:2012.07204