2 citations · 3 across the 4 of their papers we have counts for
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On slope unstable Fano varieties
Yen-An Chen, Ching-Jui Lai
For Fano varieties, significant progress has been made recently in the study of -stability, while the understanding of the weaker but more algebraic concept of -slope stab…
A Supplement to the anticanonical Volumes of weak -Fano threefolds of Picard rank two
Ching-Jui Lai, Tsung-Ju Lee
We show that for a weak -Fano threefold (-factorial with terminal singularities and is nef and big) of Picard rank , either $-K_X^3\l…
On anticanonical volumes of weak -Fano terminal threefolds of Picard rank two
Ching-Jui Lai
We show that for a weak -Fano threefold of Picard rank two (-factorial with at worst terminal singularities), the anticanonical volume satisfies $-K_X^3…
Exceptional collection of objects on some fake projective planes
Ching-Jui Lai, Sai-Kee Yeung
The purpose of the article is to explain a new method to establish the existence of an exceptional collection of length three for a fake projective plane M with non-trivial automor…
The movable cone of certain Calabi-Yau threefolds of Picard number two
Ching-Jui Lai, Sz-Sheng Wang
We describe explicitly the chamber structure of the movable cone for a general smooth complete intersection Calabi-Yau threefold of Picard number two in certain Pr-ruled Fano m…
Varieties of general type with small volumes
Jungkai Alfred Chen, Ching-Jui Lai
Generalize Kobayashi's example for the Noether inequality in dimension three, we provide examples of n-folds of general type with small volumes.