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Classification of
unimodal isolated complete intersection singularities in
positive characteristic
Hongrui Ma, Stephen S.-T. Yau and Huaiqing Zuo |
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Vol. 340 (2026), No. 1, 71–114
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Abstract |
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We classify unimodal isolated complete intersection singularities in arbitrary characteristic under contact equivalence. The classification over 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
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Mathematical Subject Classification
Primary: 54C40, 14E20, 14H20
Secondary: 46E25, 20C20
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Milestones
Received: 15 May 2025
Revised: 13 August 2025
Accepted: 18 September 2025
Published: 31 October 2025
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Authors |
| Hongrui Ma | ||
| Department of Mathematical
Sciences Tsinghua University Beijing China |
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| Stephen S.-T. Yau | ||
| Hetao Institute of Mathematics and
Interdisciplinary Sciences (HIMIS) Shenzhen Guangdong China |
Beijing Institute of Mathematical
Sciences and Applications (BIMSA) Beijing China |
Department of Mathematical
Sciences Tsinghua University Beijing China |
| Huaiqing Zuo | ||
| Department of Mathematical
Sciences Tsinghua University Beijing China |
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| © 2026 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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