Meromorphic maps from ${\Bbb C}^{p}$ into semi-abelian varieties and general projective varieties
Complex Variables
2025-12-11 v1 Algebraic Geometry
Abstract
In 1953, W. Stoll proposed a method of studying holomorphic functions of several complex variables by reducing them to one variable through fiber integration. In this paper, we use this method to extend some important Nevanlinna-type results for holomorphic curves into projective varieties to meromorphic maps from to projective varieties. This includes Bloch's theorem and Noguchi-Winklemann-Yamanoi's Second Main Theorem for holomorphic maps into semi-abelian varieties intersecting an effective divisor, as well as Huynh-Vu-Xie's Second Main Theorem for meromorphic maps into projective space intersecting with a generic hypersurface with sufficiently high degree.
Keywords
Cite
@article{arxiv.2512.09805,
title = {Meromorphic maps from ${\Bbb C}^{p}$ into semi-abelian varieties and general projective varieties},
author = {Zhe Wang},
journal= {arXiv preprint arXiv:2512.09805},
year = {2025}
}