L. Hou

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math.AG2026

Invariant two-jets and effective hyperbolicity for complements of two plane curves

Lei Hou, Pengchao Wang, Song-Yan Xie

Let $D = C_{1} + C_{2} \subset P^{2}$ be a simple normal crossing union of smooth plane curves of degrees $1 ⩽ d_{1} ⩽ d_{2}$ . We prove an effective Second Main Theorem for…

math.AG2026

A Symmetry Method for Key Vanishing Lemmas and Optimal $2$ -Jet Thresholds for Hyperbolicity

Tao Cui, Lei Hou, Jianjun Liu +1

This manuscript reports on an ongoing project. The finite full-column-rank computations underlying the Key Vanishing Lemmas isolated below are currently undergoing exact computer-a…

Invariant two-jets and effective hyperbolicity for complements of two plane curves

A Symmetry Method for Key Vanishing Lemmas and Optimal 2-Jet Thresholds for Hyperbolicity

A Symmetry Method for Key Vanishing Lemmas and Optimal $2$ -Jet Thresholds for Hyperbolicity