Étale motives of geometric origin
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909227659821056 |
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| author | Ruimy, Raphaël Tubach, Swann |
| author_facet | Ruimy, Raphaël Tubach, Swann |
| contents | Over qcqs finite-dimensional schemes, we prove that étale motives of geometric origin can be characterised by a constructibility property which is purely categorical, giving a full answer to the question "Do all constructible étale motives come from geometry?" which dates back to Cisinski and Déglise's work. We also show that they afford the continuity property and satisfy h-descent and Milnor excision. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_07095 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Étale motives of geometric origin Ruimy, Raphaël Tubach, Swann Algebraic Geometry 14F42, 14F08 Over qcqs finite-dimensional schemes, we prove that étale motives of geometric origin can be characterised by a constructibility property which is purely categorical, giving a full answer to the question "Do all constructible étale motives come from geometry?" which dates back to Cisinski and Déglise's work. We also show that they afford the continuity property and satisfy h-descent and Milnor excision. |
| title | Étale motives of geometric origin |
| topic | Algebraic Geometry 14F42, 14F08 |
| url | https://arxiv.org/abs/2405.07095 |