| Title:
|
Motives on pro-algebraic stacks (English) |
| Author:
|
Yaylali, Can |
| Language:
|
English |
| Journal:
|
Higher Structures |
| ISSN:
|
2209-0606 |
| Volume:
|
10 |
| Issue:
|
1 |
| Year:
|
2026 |
| Pages:
|
99-125 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
Six functor formalism |
| Keyword:
|
motives |
| Keyword:
|
algebraic stacks |
| Keyword:
|
Barsotti-Tate groups |
| MSC:
|
14A20 |
| MSC:
|
14C15 |
| MSC:
|
14F42 |
| MSC:
|
18N60 |
| DOI:
|
10.21136/HS.2026.04 |
| . |
| Date available:
|
2026-09-17T12:43:50Z |
| Last updated:
|
2026-09-17 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/153756 |
| . |
| Reference:
|
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| . |
