Classification of unimodal isolated complete intersection singularities in positive characteristic

Hongrui Ma, Stephen S.-T. Yau and Huaiqing Zuo

Vol. 340 (2026), No. 1, 71–114

DOI: 10.2140/pjm.2026.340.71

Abstract

We classify unimodal isolated complete intersection singularities in arbitrary characteristic under contact equivalence. The classification over $ℂ$ has been 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.

Keywords

unimodal singularity, complete intersection, positive characteristic

Mathematical Subject Classification

Primary: 54C40, 14E20, 14H20

Secondary: 46E25, 20C20

Milestones

Received: 15 May 2025

Revised: 13 August 2025

Accepted: 18 September 2025

Published: 31 October 2025