10 citations · 24 across the 15 of their papers we have counts for
11 papers · 1 filter
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…
The movable cone of Calabi--Yau threefolds in ruled Fano manifolds
Atsushi Ito, Ching-Jui Lai, Sz-Sheng Wang
We describe explicitly the chamber structure of the movable cone for a general complete intersection Calabi--Yau threefold in a non-split -dimensional -rul…
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.
Bogomolov-Gieseker Type Inequality on Calabi-Yau and Fano 3-folds
Wu-yen Chuang, Ching-Jui Lai
We prove a Bogomolov-Gieseker type inequality for the third Chern characters of stable sheaves on Calabi-Yau 3-folds and a large class of Fano 3-folds with given rank and first and…
Examples of surfaces with canonical maps of maximal degree
Ching-Jui Lai, Sai-Kee Yeung
It was shown by A. Beauville that if the canonical map of a complex smooth projective surface is generically finite, then . The first e…
Bounding the volumes of singular Fano threefolds
Ching-Jui Lai
Let be an -dimensional -klt log $\QQ$-Fano pair. We give an upper bound for the volume when or and is {$\QQ$-factor…
Varieties fibered by good minimal models
Ching-Jui Lai
Let f:X->Y be an algebraic fiber space such that the general fiber has a good minimal model. We show that if f is the Iitaka fibration or if f is the Albanese map of relative dimen…