Separable extensions in tensor-triangular geometry and generalized Quillen stratification
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2013
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866912018186895360 |
|---|---|
| author | Balmer, Paul |
| author_facet | Balmer, Paul |
| contents | We study the continuous map induced on spectra by a separable extension of tensor-triangulated categories. We determine the image of this map and relate the cardinality of its fibers to the degree of the extension. We then prove a weak form of descent, "up-to-nilpotence", which allows us to generalize Quillen's Stratification Theorem to equivariant derived categories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1309_1808 |
| institution | arXiv |
| publishDate | 2013 |
| record_format | arxiv |
| spellingShingle | Separable extensions in tensor-triangular geometry and generalized Quillen stratification Balmer, Paul Category Theory Algebraic Geometry Algebraic Topology Representation Theory 18E30, 20J05, 13B24, 55U35 We study the continuous map induced on spectra by a separable extension of tensor-triangulated categories. We determine the image of this map and relate the cardinality of its fibers to the degree of the extension. We then prove a weak form of descent, "up-to-nilpotence", which allows us to generalize Quillen's Stratification Theorem to equivariant derived categories. |
| title | Separable extensions in tensor-triangular geometry and generalized Quillen stratification |
| topic | Category Theory Algebraic Geometry Algebraic Topology Representation Theory 18E30, 20J05, 13B24, 55U35 |
| url | https://arxiv.org/abs/1309.1808 |