The twisted forms of a semisimple group over an ${\mathbb{F}}_q$-curve

Rony A. Bitan, Ralf Kohl, Claudia Schoemann

Let $C$ be a smooth, projective and geometrically connected curve defined over a finite field ${\mathbb{F}}_q(C)$. Given a semisimple $C-S$-group scheme $\underline{G}$ where $S$ is…