English

Purely inseparable coverings of rational double points in positive characteristic

Algebraic Geometry 2022-04-11 v3 Commutative Algebra

Abstract

We classify purely inseparable morphisms of degree pp between rational double points (RDPs) in characteristic p>0p > 0. Using such morphisms, we refine a result of Artin that any RDP admits a finite smooth covering.

Keywords

Cite

@article{arxiv.2003.10344,
  title  = {Purely inseparable coverings of rational double points in positive characteristic},
  author = {Yuya Matsumoto},
  journal= {arXiv preprint arXiv:2003.10344},
  year   = {2022}
}

Comments

16 pages, title slightly changed, accepted version