English

Adjoint groups over ${\mathbb Q}_p (X)$ and R-equivalence - revisited

Number Theory 2016-03-02 v2

Abstract

We obtain a class of examples of non-rational adjoint classical groups of type 2An^2A_n and a group of type 2D3^2D_3 over the function field FF of a smooth geometrically integral curve over a pp-adic field with p2p \neq 2. We also show that for any group of type CnC_n over FF, the group of rational equivalence classes of GG over FF is trivial, i.e., G(F)/R=(1)G(F)/R=(1).

Keywords

Cite

@article{arxiv.1512.02480,
  title  = {Adjoint groups over ${\mathbb Q}_p (X)$ and R-equivalence - revisited},
  author = {R. Preeti and A. Soman},
  journal= {arXiv preprint arXiv:1512.02480},
  year   = {2016}
}

Comments

11 pages

R2 v1 2026-06-22T12:04:15.569Z