Classification of unimodal isolated complete intersection singularities in positive characteristic

Fuente: arXiv
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Autori principali: Ma, Hongrui, Yau, Stephen S. -T., Zuo, Huaiqing
Natura: Preprint
Pubblicazione: 2025
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author Ma, Hongrui
Yau, Stephen S. -T.
Zuo, Huaiqing
author_facet Ma, Hongrui
Yau, Stephen S. -T.
Zuo, Huaiqing
contents In this paper we classify the unimodal isolated complete intersection singularities in arbitrary characteristic under contact equivalence. The classification over $\mathbb{C}$ 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.
format Preprint
id arxiv_https___arxiv_org_abs_2502_04956
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Classification of unimodal isolated complete intersection singularities in positive characteristic
Ma, Hongrui
Yau, Stephen S. -T.
Zuo, Huaiqing
Algebraic Geometry
In this paper we classify the unimodal isolated complete intersection singularities in arbitrary characteristic under contact equivalence. The classification over $\mathbb{C}$ 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.
title Classification of unimodal isolated complete intersection singularities in positive characteristic
topic Algebraic Geometry
url https://arxiv.org/abs/2502.04956