A remark on a result of Huber and Kahn
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866910296837193728 |
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| author | Habibi, Somayeh Rahmati, Farhad |
| author_facet | Habibi, Somayeh Rahmati, Farhad |
| contents | A. Huber and B. Kahn construct a relative slice filtration on the motive M(X) associated to a principal T-bundle X over a smooth scheme Y. As a consequence of their result, one can observe that the mixed Tateness of the motive M(Y) implies that the motive M(X) is mixed Tate. In this note we prove the inverse implication for a principal G-bundle, for a split reductive group G. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_05477 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A remark on a result of Huber and Kahn Habibi, Somayeh Rahmati, Farhad Algebraic Geometry Number Theory 14C25 A. Huber and B. Kahn construct a relative slice filtration on the motive M(X) associated to a principal T-bundle X over a smooth scheme Y. As a consequence of their result, one can observe that the mixed Tateness of the motive M(Y) implies that the motive M(X) is mixed Tate. In this note we prove the inverse implication for a principal G-bundle, for a split reductive group G. |
| title | A remark on a result of Huber and Kahn |
| topic | Algebraic Geometry Number Theory 14C25 |
| url | https://arxiv.org/abs/2301.05477 |