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

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Rony Avraham Bitan
  • Ralf Köhl
  • Claudia Schoemann

Organisationseinheiten

Externe Organisationen

  • Afeka Tel Aviv Academic College of Engineering
  • Justus-Liebig-Universität Gießen
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Details

OriginalspracheEnglisch
Seiten (von - bis)17-38
Seitenumfang22
FachzeitschriftJournal de Theorie des Nombres de Bordeaux
Jahrgang33
Ausgabenummer1
PublikationsstatusVeröffentlicht - 21 Mai 2021

Abstract

Let C be a smooth, projective and geometrically connected curve defined over a finite field Fq(C). 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−−).

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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, Jahrgang 33, Nr. 1, 21.05.2021, S. 17-38.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › 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 Mai 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 ; Jahrgang 33, Nr. 1. S. 17-38.
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