3 papers
math.AG2026
The Quotient of Milnor Number by Tjurina Number of Hypersurface Singularities in Arbitrary Characteristic
Hongrui Ma, Huaiqing Zuo
In this paper, we use Hilbert-Samuel multiplicity, Hilbert-Kunz multiplicity, and s-multiplicity to establish a sharp upper bound for the quotient of the generalized Milnor numbers…
math.AG2026
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…
math.AG2026
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…