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math.CV2026
A curvature estimate for holomophic maps on open Riemann surfaces
Yunling Chen, Dinh Tuan Huynh
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 hol…
math.CV2026
Vanishing of Invariant 2-Jet Differentials and Improved Hyperbolicity Degree Bounds in Dimension Two
Lei Hou, Dinh Tuan Huynh, Joël Merker +1
This paper establishes new degree bounds for Kobayashi hyperbolicity in dimension two. Our main results are: -- A very generic surface in of degree at least is…