Stratification of Derived Categories of Tate Motives
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Accesso online: | |
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| _version_ | 1866914840156569600 |
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| author | Rubinstein, David |
| author_facet | Rubinstein, David |
| contents | We classify the localizing tensor ideals of the derived categories of mixed Tate motives over certain algebraically closed fields. More precisely, we prove that these categories are stratified in the sense of Barthel, Heard and Sanders. A key ingredient in the proof is the development of a new technique for transporting stratification between categories by means of Brown--Adams representability, which may be of independent interest. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_13088 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stratification of Derived Categories of Tate Motives Rubinstein, David Algebraic Geometry Category Theory K-Theory and Homology 14C15, 14F42, 19E15, 18E35, 18G99, 18F99 We classify the localizing tensor ideals of the derived categories of mixed Tate motives over certain algebraically closed fields. More precisely, we prove that these categories are stratified in the sense of Barthel, Heard and Sanders. A key ingredient in the proof is the development of a new technique for transporting stratification between categories by means of Brown--Adams representability, which may be of independent interest. |
| title | Stratification of Derived Categories of Tate Motives |
| topic | Algebraic Geometry Category Theory K-Theory and Homology 14C15, 14F42, 19E15, 18E35, 18G99, 18F99 |
| url | https://arxiv.org/abs/2406.13088 |