15 citations · 25 across the 11 of their papers we have counts for
11 papers
On Two Open Problems by Johnson and Kollár
Siyuan Fu, Zhiming Li, Huaiqing Zuo
We resolve two problems left open by Johnson and Kollár in their paper Arcology: Question 21 and the openness issue arising in Example 14.
Nakai conjectures for isolated weighted homogeneous hypersurface singularities
Stephen S. -T. Yau, Qiwei Zhu, Huaiqing Zuo
The long-standing Nakai Conjecture asks whether differential operators detect singularities on algebraic varieties. On a smooth variety over a field of characteristic zero, the rin…
Tjurina Number Jumps and Unimodal Hypersurface Singularities in Positive Characteristic
Hongrui Ma, Aoyu Ying, Huaiqing Zuo
This paper generalizes existing methods to derive stronger bounds on the modality of hypersurface singularities. Our results demonstrate that each sudden jump in the extended Tjuri…
The Nakai Conjecture for isolated hypersurface singularities of modality
Rui Li, Zida Xiao, Huaiqing Zuo
The well-known Nakai Conjecture concerns a very natural question: For an algebra of finite type over a characteristic zero field, if the ring of its differential operators is gener…
Classification of unimodal isolated complete intersection singularities in positive characteristic
Hongrui Ma, Stephen S. -T. Yau, Huaiqing Zuo
In this paper we classify the unimodal isolated complete intersection singularities in arbitrary characteristic under contact equivalence. The classification over has…
Normal surface singularities of small degrees
Stephen S. -T. Yau, Hao Zuo, Huaiqing Zuo
The notion of the Yau sequence was introduced by Tomaru, as an attempt to extend Yau's elliptic sequence for (weakly) elliptic singularities to normal surface singularities of high…
Groupoids derived from the simple elliptic singularities
Chuangqiang Hu, Stephen S. -T. Yau, Huaiqing Zuo
K. Saito's classification of simple elliptic singularities includes three families of weighted homogeneous singularities: , and . For ea…
On the -th Tjurina number of weighted homogeneous singularities
Chuangqiang Hu, Stephen S. -T. Yau, Huaiqing Zuo
Let denote an isolated singularity defined by a weighted homogeneous polynomial . Let be the local algebra of holomorphic function germs at the origin…
4d N=2 SCFT and singularity theory Part III: Rigid singularity
Bingyi Chen, Dan Xie, Stephen S. -T. Yau +2
We classify three fold isolated quotient Gorenstein singularity . These singularities are rigid, i.e. there is no non-trivial deformation, and we conjecture that they define…
4d N=2 SCFT and singularity theory Part II: Complete intersection
Bingyi Chen, Dan Xie, Shing-Tung Yau +2
We classify three dimensional isolated weighted homogeneous rational complete intersection singularities, which define many new four dimensional N=2 superconformal field theories.…
On Classification of Toric Surface Codes of Low Dimension
Xue Luo, Stephen S. -T. Yau, Mingyi Zhang +1
This work is a natural continuation of our previous work \cite{yz}. In this paper, we give a complete classification of toric surface codes of dimension less than or equal to 6, ex…