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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2408.15528 |
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| _version_ | 1866917761273298944 |
|---|---|
| author | Archita, M. |
| author_facet | Archita, M. |
| contents | 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 $G(F)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_15528 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Rational equivalence on adjoint groups of type $^{1}D_n$ over field $\mathbb{Q}_P(X)$ Archita, M. Rings and Algebras 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 $G(F)$. |
| title | Rational equivalence on adjoint groups of type $^{1}D_n$ over field $\mathbb{Q}_P(X)$ |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2408.15528 |