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arXiv · 2408.15528

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

M. Archita
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Abstract

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

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M. Archita. 2024-08-28. Rational equivalence on adjoint groups of type $^{1}D_n$ over field $\mathbb{Q}_P(X)$. https://arxiv.org/abs/2408.15528

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