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arXiv · 2603.15562

A curvature estimate for holomophic maps on open Riemann surfaces

Yunling Chen·Dinh Tuan Huynh
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Abstract

We apply the technique of jet differentials to establish a Gauss curvature estimate for an open Riemann surface $M$, equipped with a conformal metric induced from a nonconstant holomorphic map that is highly ramified over a generic hypersurface of sufficiently high degree.

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Yunling Chen, Dinh Tuan Huynh. 2026-03-16. A curvature estimate for holomophic maps on open Riemann surfaces. https://arxiv.org/abs/2603.15562

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