A curvature estimate for holomophic maps on open Riemann surfaces
arXiv:2603.15562
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.
20 pages, comments are welcome