Nori motives (and mixed Hodge modules) with integral coefficients
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866908990297866240 |
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| author | Ruimy, Raphaël Tubach, Swann |
| author_facet | Ruimy, Raphaël Tubach, Swann |
| contents | We construct abelian categories of integral Nori motivic sheaves over a scheme of characteristic zero. The first step is to study the presentable derived category of Nori motives over a field. Next we construct an algebra in étale motives such that modules over it afford a t-structure that restricts to constructible objects. This category of integral Nori motives has the six operations and arc-descent. We finish by providing analogous constructions and results for mixed Hodge modules on schemes over the reals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_01462 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nori motives (and mixed Hodge modules) with integral coefficients Ruimy, Raphaël Tubach, Swann Algebraic Geometry 14F42, 14F05 We construct abelian categories of integral Nori motivic sheaves over a scheme of characteristic zero. The first step is to study the presentable derived category of Nori motives over a field. Next we construct an algebra in étale motives such that modules over it afford a t-structure that restricts to constructible objects. This category of integral Nori motives has the six operations and arc-descent. We finish by providing analogous constructions and results for mixed Hodge modules on schemes over the reals. |
| title | Nori motives (and mixed Hodge modules) with integral coefficients |
| topic | Algebraic Geometry 14F42, 14F05 |
| url | https://arxiv.org/abs/2407.01462 |