8 citations · 8 across the 3 of their papers we have counts for
8 papers
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…