Classification of unimodal isolated complete intersection singularities in positive characteristic

2025/02/07 by Ma, Hongrui, Yau, Stephen S. -T., Zuo, Huaiqing · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2502.04956

Abstract

In this paper we classify the unimodal isolated complete intersection singularities in arbitrary characteristic under contact equivalence. The classification over ℂ has already done by A. Dimca and C.G. Gibson. We continue and generalize their work. To complete the classification, we generalized the complete transversal method into positive characteristic field, which is also useful in many other classification problem.

Cited by

• Tjurina Number Jumps and Unimodal Hypersurface Singularities in Positive Characteristic

Related

• Classification of simple 0-dimensional isolated complete intersection singularities
• Hypersurface singularities in positive characteristic
• Normal Forms of Hypersurface Singularities in Positive Characteristic
• New Ideas for Resolution of Singularities in Arbitrary Characteristics
• Singularities in Positive Characteristic