English

Classification of unimodal isolated complete intersection singularities in positive characteristic

Algebraic Geometry 2026-04-20 v3

Abstract

In this paper we classify the unimodal isolated complete intersection singularities in arbitrary characteristic under contact equivalence. The classification over C\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.

Keywords

Cite

@article{arxiv.2502.04956,
  title  = {Classification of unimodal isolated complete intersection singularities in positive characteristic},
  author = {Hongrui Ma and Stephen S. -T. Yau and Huaiqing Zuo},
  journal= {arXiv preprint arXiv:2502.04956},
  year   = {2026}
}

Comments

final version, to appear in Pac. J. Math