A curvature estimate for holomophic maps on open Riemann surfaces
Complex Variables
2026-03-17 v1 Differential Geometry
Abstract
We apply the technique of jet differentials to establish a Gauss curvature estimate for an open Riemann surface , equipped with a conformal metric induced from a nonconstant holomorphic map that is highly ramified over a generic hypersurface of sufficiently high degree.
Cite
@article{arxiv.2603.15562,
title = {A curvature estimate for holomophic maps on open Riemann surfaces},
author = {Yunling Chen and Dinh Tuan Huynh},
journal= {arXiv preprint arXiv:2603.15562},
year = {2026}
}
Comments
20 pages, comments are welcome