Meromorphic mappings into projective varieties with arbitrary families of moving hypersurfaces
Complex Variables
2022-06-01 v2
Abstract
In this paper, we prove a general second main theorem for meromorphic mappings into a subvariety of with an arbitrary family of moving hypersurfaces. Our second main theorem generalizes and improves all previous results for meromorphic mappings with moving hypersurfaces, in particular for meromorphic mappings and families of moving hypersurfaces in subgeneral position. The method of our proof is different from that of previous authors used for the case of moving hypersurfaces.
Keywords
Cite
@article{arxiv.2012.07840,
title = {Meromorphic mappings into projective varieties with arbitrary families of moving hypersurfaces},
author = {Si Duc Quang},
journal= {arXiv preprint arXiv:2012.07840},
year = {2022}
}
Comments
In this version, some mistakes have been corrected. The current version has 25 pages. This paper has been accepted for publication in The Journal of Geometric Analysis (2021). arXiv admin note: text overlap with arXiv:2012.07204