4 papers
On the canonical degree of a Gorenstein minimal threefold of general type
Jiabin Du, Yong Hu
Let be a Gorenstein minimal -fold of general type whose canonical map is generically finite. We prove that if , then the degree of the canonical map is at most…
CANDY: Benchmarking LLMs' Limitations and Assistive Potential in Chinese Misinformation Fact-Checking
Ruiling Guo, Xinwei Yang, Chen Huang +2
The effectiveness of large language models (LLMs) to fact-check misinformation remains uncertain, despite their growing use. To this end, we present CANDY, a benchmark designed to…
Moduli spaces of threefolds on the Noether line
Stephen Coughlan, Yong Hu, Roberto Pignatelli +1
In this paper, we study the moduli spaces of canonical threefolds with any prescribed geometric genus which have the smallest possible canonical volume. This minimal vo…
Noether inequality for irregular threefolds of general type
Yong Hu, Tong Zhang
Let be a smooth irregular -fold of general type over . We prove that the optimal Noether inequality holds if $p_g(X)…