On geometry of some pseudo-reductive groups
Group Theory
2022-05-30 v3 Algebraic Geometry
Abstract
Based on the work of Conrad-Gabber-Prasad, the paper deals with the geometry of particular pseudo-semisimple groups, namely those which can be written as quotient of Weil restriction of semisimple groups. We establish that these groups are retract rational when their are split, and give results on their Picard groups.
Cite
@article{arxiv.2011.14001,
title = {On geometry of some pseudo-reductive groups},
author = {Alexandre Lourdeaux},
journal= {arXiv preprint arXiv:2011.14001},
year = {2022}
}
Comments
21 pages, Accepted by Communications in Algebra