On the Motivic Homotopy Type of Algebraic Stacks (with an appendix joint with Jack Hall)
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910799751020544 |
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| author | Deshmukh, Neeraj Hall, Jack |
| author_facet | Deshmukh, Neeraj Hall, Jack |
| contents | We construct smooth presentations of algebraic stacks that are local epimorphisms in the Morel-Voevodsky $\mathbb{A}^1$-homotopy category. As a consequence we show that the motive of a smooth stack (in Voevodsky's triangulated category of motives) has many of the same properties as the motive of a smooth scheme. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_10631 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the Motivic Homotopy Type of Algebraic Stacks (with an appendix joint with Jack Hall) Deshmukh, Neeraj Hall, Jack Algebraic Geometry We construct smooth presentations of algebraic stacks that are local epimorphisms in the Morel-Voevodsky $\mathbb{A}^1$-homotopy category. As a consequence we show that the motive of a smooth stack (in Voevodsky's triangulated category of motives) has many of the same properties as the motive of a smooth scheme. |
| title | On the Motivic Homotopy Type of Algebraic Stacks (with an appendix joint with Jack Hall) |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2304.10631 |