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arXiv · 1512.02480

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

R. Preeti·A. Soman
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Abstract

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

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R. Preeti, A. Soman. 2015-12-08. Adjoint groups over ${\mathbb Q}_p (X)$ and R-equivalence - revisited. https://arxiv.org/abs/1512.02480

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