Rational motives on pro-algebraic stacks
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866909874185568256 |
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| author | Yaylali, Can |
| author_facet | Yaylali, Can |
| contents | We define an $\infty$-category of rational motives for inverse limits of algebraic stacks, so-called pro-algebraic stacks. We show that it admits a $6$-functor formalism for certain classes of morphisms. On pro-schemes, we show that this $6$-functor formalism is in the sense of Liu-Zheng. This theory yields an approach to the theory of motives for non-representable algebraic stacks and non-finite type morphisms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_03596 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Rational motives on pro-algebraic stacks Yaylali, Can Algebraic Geometry 14F42 (Primary) 14C15 14A20 (Secondary) We define an $\infty$-category of rational motives for inverse limits of algebraic stacks, so-called pro-algebraic stacks. We show that it admits a $6$-functor formalism for certain classes of morphisms. On pro-schemes, we show that this $6$-functor formalism is in the sense of Liu-Zheng. This theory yields an approach to the theory of motives for non-representable algebraic stacks and non-finite type morphisms. |
| title | Rational motives on pro-algebraic stacks |
| topic | Algebraic Geometry 14F42 (Primary) 14C15 14A20 (Secondary) |
| url | https://arxiv.org/abs/2403.03596 |