3 papers
math.AG2026
A Symmetry Method for Key Vanishing Lemmas and Optimal -Jet Thresholds for Hyperbolicity
Tao Cui, Lei Hou, Jianjun Liu +1
This manuscript reports on an ongoing project. We develop a new symmetry-based method for establishing vanishing results for negatively twisted invariant 2-jet differentials, both…
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…
math.CV2026
A Second Main Theorem for Entire Curves Intersecting Three Conics
Lei Hou, Dinh Tuan Huynh, Joël Merker +1
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…