Étale Reconstruction for $\mathbb{F}_p(t)$-Schemes
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866918192916463616 |
|---|---|
| author | Berens, Zachary |
| author_facet | Berens, Zachary |
| contents | Voevodsky proved that normal schemes of finite type over finitely generated fields of characteristic $0$ can be reconstructed from their étale sites. Let $K$ be a field that is finitely generated over $\mathbb{F}_p(t)$. Grothendieck conjectured that perfections of finite type $K$-schemes can be reconstructed from their étale sites. Adapting Voevodsky's methods, we prove this. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_23485 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Étale Reconstruction for $\mathbb{F}_p(t)$-Schemes Berens, Zachary Algebraic Geometry Voevodsky proved that normal schemes of finite type over finitely generated fields of characteristic $0$ can be reconstructed from their étale sites. Let $K$ be a field that is finitely generated over $\mathbb{F}_p(t)$. Grothendieck conjectured that perfections of finite type $K$-schemes can be reconstructed from their étale sites. Adapting Voevodsky's methods, we prove this. |
| title | Étale Reconstruction for $\mathbb{F}_p(t)$-Schemes |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2509.23485 |