The twisted forms of a semisimple group over an fq-curve

Rony A. Bitan; Ralf Köhl; Claudia Schoemann

doi:10.5802/jtnb.1150

The twisted forms of a semisimple group over an f_q-curve

Rony A. Bitan, Ralf Köhl, Claudia Schoemann

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Let C be a smooth, projective and geometrically connected curve defined over a finite field F_q . Given a semisimple C −S-group scheme G where S is a finite set of closed points of C, we describe the set of (O_S-classes of) twisted forms of G in terms of geometric invariants of its fundamental group F (G).

Original language	English
Pages (from-to)	17-38
Number of pages	22
Journal	Journal de Theorie des Nombres de Bordeaux
Volume	33
Issue number	1
DOIs	https://doi.org/10.5802/jtnb.1150
State	Published - 2021

Bibliographical note

Publisher Copyright:
© Société Arithmétique de Bordeaux, 2021, tous droits réservés.

Keywords

Hasse principle
Mots-clefs. Class number
Tamagawa number
étale cohomology

Access to Document

10.5802/jtnb.1150

Cite this

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