Ching-Jui Lai

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20242026

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math.AG2026

On slope unstable Fano varieties

Yen-An Chen, Ching-Jui Lai

For Fano varieties, significant progress has been made recently in the study of $K$ -stability, while the understanding of the weaker but more algebraic concept of $(- K)$ -slope stab…

math.AG2025

A Supplement to the anticanonical Volumes of weak $Q$ -Fano threefolds of Picard rank two

Ching-Jui Lai, Tsung-Ju Lee

We show that for a weak $Q$ -Fano threefold $X$ ( $Q$ -factorial with terminal singularities and $- K_{X}$ is nef and big) of Picard rank $I ¨ (X) \leq 2$ , either $-K_X^3\…

math.AG2025

On anticanonical volumes of weak $Q$ -Fano terminal threefolds of Picard rank two

Ching-Jui Lai

We show that for a weak $Q$ -Fano threefold $X$ of Picard rank two ( $Q$ -factorial with at worst terminal singularities), the anticanonical volume satisfies $-K_X^3…

On slope unstable Fano varieties

A Supplement to the anticanonical Volumes of weak Q-Fano threefolds of Picard rank two

On anticanonical volumes of weak Q-Fano terminal threefolds of Picard rank two

A Supplement to the anticanonical Volumes of weak $Q$ -Fano threefolds of Picard rank two

On anticanonical volumes of weak $Q$ -Fano terminal threefolds of Picard rank two