Reduced Unitary Whitehead Groups over Function Fields of p-adic Curves
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2026
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866913013758427136 |
|---|---|
| author | Pei, Zitong |
| author_facet | Pei, Zitong |
| contents | Let $F_0$ be the function field of a curve over a $p$-adic field $K,$ and let $F$ be a quadratic extension over $F_0$. Let $A$ be a central simple algebra over $F$ of period $2,$ and let $τ$ be a $F/F_0$-involution on $A$. We show the triviality of the reduced unitary Whitehead group $SK_1U( A, τ)$ if $p\neq 2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_06617 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Reduced Unitary Whitehead Groups over Function Fields of p-adic Curves Pei, Zitong Number Theory K-Theory and Homology Rings and Algebras Let $F_0$ be the function field of a curve over a $p$-adic field $K,$ and let $F$ be a quadratic extension over $F_0$. Let $A$ be a central simple algebra over $F$ of period $2,$ and let $τ$ be a $F/F_0$-involution on $A$. We show the triviality of the reduced unitary Whitehead group $SK_1U( A, τ)$ if $p\neq 2$. |
| title | Reduced Unitary Whitehead Groups over Function Fields of p-adic Curves |
| topic | Number Theory K-Theory and Homology Rings and Algebras |
| url | https://arxiv.org/abs/2604.06617 |