The twisted forms of a semisimple group over an 𝔽 q -curve

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

Authors

  • Rony Avraham Bitan
  • Ralf Köhl
  • Claudia Schoemann

Research Organisations

External Research Organisations

  • Afeka Tel Aviv Academic College of Engineering
  • Justus Liebig University Giessen
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Details

Original languageEnglish
Pages (from-to)17-38
Number of pages22
JournalJournal de Theorie des Nombres de Bordeaux
Volume33
Issue number1
Publication statusPublished - 21 May 2021

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).

Keywords

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

ASJC Scopus subject areas

Cite this

The twisted forms of a semisimple group over an 𝔽 q -curve. / Bitan, Rony Avraham; Köhl, Ralf; Schoemann, Claudia.
In: Journal de Theorie des Nombres de Bordeaux, Vol. 33, No. 1, 21.05.2021, p. 17-38.

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

Bitan RA, Köhl R, Schoemann C. The twisted forms of a semisimple group over an 𝔽 q -curve. Journal de Theorie des Nombres de Bordeaux. 2021 May 21;33(1):17-38. doi: 10.5802/jtnb.1150
Bitan, Rony Avraham ; Köhl, Ralf ; Schoemann, Claudia. / The twisted forms of a semisimple group over an 𝔽 q -curve. In: Journal de Theorie des Nombres de Bordeaux. 2021 ; Vol. 33, No. 1. pp. 17-38.
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