Article ID Journal Published Year Pages File Type
4595932 Journal of Pure and Applied Algebra 2015 11 Pages PDF
Abstract

Let F be the function field of a smooth, geometrically integral curve over a p  -adic field with p≠2p≠2. In this paper we show that if G is an absolutely simple adjoint algebraic group over F   of type An⁎2, CnCn or DnDn (D4D4 non-trialitarian) such that the associated hermitian form has even rank, trivial discriminant (if G   is of type An⁎2 or DnDn) and trivial Clifford invariant (if G   is of type DnDn) then the group of rational equivalence classes, G(F)/RG(F)/R is trivial.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
, ,