Abstract
Let C be a smooth, projective and geometrically connected curve defined over a finite field Fq . Given a semisimple C −S-group scheme G where S is a finite set of closed points of C, we describe the set of (OS-classes of) twisted forms of G in terms of geometric invariants of its fundamental group F (G).
Original language | English |
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Pages (from-to) | 17-38 |
Number of pages | 22 |
Journal | Journal de Theorie des Nombres de Bordeaux |
Volume | 33 |
Issue number | 1 |
DOIs | |
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