Chow-Lefschetz motives
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916238303690752 |
|---|---|
| author | Kahn, Bruno |
| author_facet | Kahn, Bruno |
| contents | We develop Milne's theory of Lefschetz motives for general adequate equivalence relations and over a not necessarily algebraically closed base field. The corresponding categories turn out to enjoy all properties predicted by standard and less standard conjectures, in a stronger way: algebraic and numerical equivalences agree in this context. We also compute the Tannakian group associated to a Weil cohomology in a different and more conceptual way than Milne's case-by-case approach. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_08327 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Chow-Lefschetz motives Kahn, Bruno Algebraic Geometry 14K05, 14C15, 14C20 We develop Milne's theory of Lefschetz motives for general adequate equivalence relations and over a not necessarily algebraically closed base field. The corresponding categories turn out to enjoy all properties predicted by standard and less standard conjectures, in a stronger way: algebraic and numerical equivalences agree in this context. We also compute the Tannakian group associated to a Weil cohomology in a different and more conceptual way than Milne's case-by-case approach. |
| title | Chow-Lefschetz motives |
| topic | Algebraic Geometry 14K05, 14C15, 14C20 |
| url | https://arxiv.org/abs/2302.08327 |