Hexu Liu

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math.AG2026

On Effective Iitaka Fibration Indices for Stable Minimal Models with Large Iitaka Volumes

Hexu Liu

Given a pair $(V, C)$ that admits a stable minimal model with fixed dimension, fixed coefficient set, and bounded relative volume, we study when the linear system $∣ m (K_{V} + C) ∣$ induc…

math.AG2023

A lifting principle for canonical stability indices of varieties of general type

Meng Chen, Hexu Liu

For any integer $n > 0$ , the $n$ th canonical stability index $r_{n}$ is defined to be the smallest positive integer so that the $r_{n}$ -canonical map $Φ_{r_{n}}$ is stably birational onto…