Bloch-Ogus theory for smooth and semi-stable schemes in mixed characteristic
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2022
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866910378110222336 |
|---|---|
| author | Lüders, Morten |
| author_facet | Lüders, Morten |
| contents | We study Bloch-Ogus theory and the Gersten conjecture for homology theories with duality satisfying certain properties, in particular for étale cohomology with finite coefficients coprime to the residue characteristic of the base, for smooth and semi-stable schemes in mixed characteristic. We prove the Gersten conjecture in the smooth case and prove a special case in the semi-stable situation. As a corollary of the smooth case we obtain the surjectivity of the Galois symbol map for arbitrary local rings over an excellent discrete valuation ring. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2201_11553 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Bloch-Ogus theory for smooth and semi-stable schemes in mixed characteristic Lüders, Morten Algebraic Geometry We study Bloch-Ogus theory and the Gersten conjecture for homology theories with duality satisfying certain properties, in particular for étale cohomology with finite coefficients coprime to the residue characteristic of the base, for smooth and semi-stable schemes in mixed characteristic. We prove the Gersten conjecture in the smooth case and prove a special case in the semi-stable situation. As a corollary of the smooth case we obtain the surjectivity of the Galois symbol map for arbitrary local rings over an excellent discrete valuation ring. |
| title | Bloch-Ogus theory for smooth and semi-stable schemes in mixed characteristic |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2201.11553 |