Outer forms of type $A_2$ with infinite genus
Rings and Algebras
2023-05-03 v1 Algebraic Geometry
Abstract
Let be an absolutely almost simple algebraic group over a field . The genus of is the set of -isomorphism classes of -forms of that have the same -isomorphism classes of maximal -tori as . We construct an example of outer forms of type with infinite genus.
Cite
@article{arxiv.2305.01606,
title = {Outer forms of type $A_2$ with infinite genus},
author = {Sergey V. Tikhonov},
journal= {arXiv preprint arXiv:2305.01606},
year = {2023}
}