Nisnevich equivalences of local essentially smooth open pairs
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912055987011584 |
|---|---|
| author | Druzhinin, A. E. Urzabaev, A. A. |
| author_facet | Druzhinin, A. E. Urzabaev, A. A. |
| contents | In this note, we prove a Nisnevich local equivalence \begin{equation*} X/(X-Z)\simeq X^\prime/(X^\prime-Z^\prime) \end{equation*} for essentially smooth local schemes $X$ and $X^\prime$ of the same dimension over a base scheme $B$, and arbitrary isomorphic closed subschemes $Z$ and $Z^\prime$, with immediate applications in motivic homotopy theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_16264 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Nisnevich equivalences of local essentially smooth open pairs Druzhinin, A. E. Urzabaev, A. A. Algebraic Geometry 14F35, 14F42, 19E15, 55P99 In this note, we prove a Nisnevich local equivalence \begin{equation*} X/(X-Z)\simeq X^\prime/(X^\prime-Z^\prime) \end{equation*} for essentially smooth local schemes $X$ and $X^\prime$ of the same dimension over a base scheme $B$, and arbitrary isomorphic closed subschemes $Z$ and $Z^\prime$, with immediate applications in motivic homotopy theory. |
| title | Nisnevich equivalences of local essentially smooth open pairs |
| topic | Algebraic Geometry 14F35, 14F42, 19E15, 55P99 |
| url | https://arxiv.org/abs/2311.16264 |