English

Loop group schemes and Abhyankar's lemma

Algebraic Geometry 2023-08-02 v2

Abstract

We define the notion of reductive group schemes defined over the localization of a regular henselian ring A at a strict normal crossing divisor DD. We provide a criterion for the existence for parabolic subgroups of a given type.

Keywords

Cite

@article{arxiv.2301.05470,
  title  = {Loop group schemes and Abhyankar's lemma},
  author = {Philippe Gille},
  journal= {arXiv preprint arXiv:2301.05470},
  year   = {2023}
}

Comments

To appear in Comptes Rendus de l'Acad{\'e}mie des Sciences Math{\'e}matiques

R2 v1 2026-06-28T08:11:00.556Z