English

On rational double points over nonclosed fields

Algebraic Geometry 2025-03-26 v1

Abstract

We compute the equations of all rational double point singularities and we determine their types over perfect ground fields kk that arise as quotient singularities by finite linearly reductive subgroup schemes of SL2,k\textrm{SL}_{2,k}.

Keywords

Cite

@article{arxiv.2503.19787,
  title  = {On rational double points over nonclosed fields},
  author = {Christian Liedtke and Matthew Satriano},
  journal= {arXiv preprint arXiv:2503.19787},
  year   = {2025}
}
R2 v1 2026-06-28T22:34:01.932Z