3 papers
math.CV2026
Vanishing of Invariant 2-Jet Differentials and Improved Hyperbolicity Degree Bounds in Dimension Two
Lei Hou, Dinh Tuan Huynh, Joël Merker +2
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…
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
A Second Main Theorem for Entire Curves Intersecting Three Conics
Lei Hou, Dinh Tuan Huynh, Joël Merker +2
We establish a Second Main Theorem for entire holomorphic curves \( f: \mathbb{C} \to \mathbb{P}^2 \) intersecting a generic configuration of three conics \(\mathcal{C}= \mathcal{C…