The twisted forms of a semisimple group over an $\mathbb{F}_q$-curve
Algebraic Geometry
2021-05-26 v4
Abstract
Let be a smooth, projective and geometrically connected curve defined over a finite field . Given a semisimple -group scheme where is a finite set of closed points of , we describe the set of (-classes of) twisted forms of in terms of geometric invariants of its fundamental group .
Keywords
Cite
@article{arxiv.1811.05723,
title = {The twisted forms of a semisimple group over an $\mathbb{F}_q$-curve},
author = {Rony A. Bitan and Ralf Kohl and Claudia Schoemann},
journal= {arXiv preprint arXiv:1811.05723},
year = {2021}
}
Comments
22 pages