English

Rational equivalence on adjoint groups of type $^{1}D_n$ over field $\mathbb{Q}_P(X)$

Rings and Algebras 2024-08-29 v1

Abstract

Let FF be the function field of a smooth, geometrically integral curve over a pp-adic field with p2.p\neq 2. Let GG be a classical adjoint group of type 1Dn^1D_n defined over FF. We show that G(F)/RG(F) / R is trivial, where RR denotes {\it rational equivalence} on G(F)G(F).

Keywords

Cite

@article{arxiv.2408.15528,
  title  = {Rational equivalence on adjoint groups of type $^{1}D_n$ over field $\mathbb{Q}_P(X)$},
  author = {M. Archita},
  journal= {arXiv preprint arXiv:2408.15528},
  year   = {2024}
}