The Valuative Section Conjecture, Étale Homotopy, and Berkovich Spaces
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2023
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866908726232875008 |
|---|---|
| author | Pajwani, Jesse |
| author_facet | Pajwani, Jesse |
| contents | We reinterpret a result of Pop and Stix on the $p$-adic section conjecture in terms of Berkovich spaces and fixed points. In doing this, we see a version of the result extends to larger classes of fields, which in turn allows us to prove a valuative section conjecture type result for a larger class of varieties. This adds to the programme to reinterpret anabelian geometry results in terms of étale homotopy types. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_03970 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Valuative Section Conjecture, Étale Homotopy, and Berkovich Spaces Pajwani, Jesse Number Theory Algebraic Geometry We reinterpret a result of Pop and Stix on the $p$-adic section conjecture in terms of Berkovich spaces and fixed points. In doing this, we see a version of the result extends to larger classes of fields, which in turn allows us to prove a valuative section conjecture type result for a larger class of varieties. This adds to the programme to reinterpret anabelian geometry results in terms of étale homotopy types. |
| title | The Valuative Section Conjecture, Étale Homotopy, and Berkovich Spaces |
| topic | Number Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2304.03970 |