Totally decomposable algebras with involution and R-triviality

Fuente: arXiv
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Auteurs principaux: Archita, M., Becher, Karim Johannes
Format: Preprint
Publié: 2026
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author Archita, M.
Becher, Karim Johannes
author_facet Archita, M.
Becher, Karim Johannes
contents We show that the group of proper projective similitudes of a totally decomposable algebra with involution of the first kind over a field of characteristic different from 2 is R-trivial.
format Preprint
id arxiv_https___arxiv_org_abs_2602_10302
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Totally decomposable algebras with involution and R-triviality
Archita, M.
Becher, Karim Johannes
Rings and Algebras
Algebraic Geometry
Number Theory
11E04, 11E57, 11E81, 14E08, 20G15
We show that the group of proper projective similitudes of a totally decomposable algebra with involution of the first kind over a field of characteristic different from 2 is R-trivial.
title Totally decomposable algebras with involution and R-triviality
topic Rings and Algebras
Algebraic Geometry
Number Theory
11E04, 11E57, 11E81, 14E08, 20G15
url https://arxiv.org/abs/2602.10302