10 citations · 24 across the 15 of their papers we have counts for
15 papers
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…
Hybrid Quantum-Classical Clustering for Preparing a Prior Distribution of Eigenspectrum
Mengzhen Ren, Yu-Cheng Chen, Ching-Jui Lai +2
Determining the energy gap in a quantum many-body system is critical to understanding its behavior and is important in quantum chemistry and condensed matter physics. The challenge…
Molecular Ground State Simulation by Subspace Restriction and Hund's Rule
Tsung-Chi Chiang, Calvin Ku, Jyh-Pin Chou +3
The Subspace Restriction Scheme (SRS) is presented to address the qubit and resource constraints of molecular simulation on near-term quantum hardware. SRS restricts a molecular Ha…
On character table of Clifford groups
Chin-Yen Lee, Wei-Hsuan Yu, Yung-Ning Peng +1
Based on a presentation of and the help of [GAP], we construct the character table of the Clifford group for . As an application, we can ef…
Implementation of Trained Factorization Machine Recommendation System on Quantum Annealer
Chen-Yu Liu, Hsin-Yu Wang, Pei-Yen Liao +2
Factorization Machine (FM) is the most commonly used model to build a recommendation system since it can incorporate side information to improve performance. However, producing ite…
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…