English

Parabolic subgroups in characteristics two and three

Algebraic Geometry 2023-12-04 v1

Abstract

This text brings to an end the classification of non-reduced parabolic subgroups in positive characteristic, especially two and three: they are all obtained as intersections of parabolics having maximal reduced part. We prove this result and deduce a few geometric consequences on rational projective homogeneous varieties.

Keywords

Cite

@article{arxiv.2312.00415,
  title  = {Parabolic subgroups in characteristics two and three},
  author = {Matilde Maccan},
  journal= {arXiv preprint arXiv:2312.00415},
  year   = {2023}
}
R2 v1 2026-06-28T13:38:08.394Z