6 papers · 1 filter
Derivations of Generalized Moduli Algebras of Isolated Hypersurface Singularities
Zhiwen Liu, Stephen S. -T. Yau
Let be an isolated complex hypersurface singularity defined by . Let be the moduli(Tjurina) algebra, let be the generalize…
Nakai conjectures for isolated weighted homogeneous hypersurface singularities
Stephen S. -T. Yau, Qiwei Zhu, Huaiqing Zuo
The long-standing Nakai Conjecture concerns a very natural question: can differential operators detect singularities on algebraic varieties? On a smooth complex variety, it is well…
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…
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…
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…