The motivic Adams conjecture
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913825776730112 |
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| author | Ananyevskiy, Alexey Elmanto, Elden Röndigs, Oliver Yakerson, Maria |
| author_facet | Ananyevskiy, Alexey Elmanto, Elden Röndigs, Oliver Yakerson, Maria |
| contents | We solve a motivic version of the Adams conjecture with the exponential characteristic of the base field inverted. In the way of the proof we obtain a motivic version of mod k Dold theorem and give a motivic version of Brown's trick studying the homogeneous variety of maximal tori in a general linear group, which turns out to be not stably A1-connected. We also show that the higher motivic stable stems are of bounded torsion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_00974 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The motivic Adams conjecture Ananyevskiy, Alexey Elmanto, Elden Röndigs, Oliver Yakerson, Maria K-Theory and Homology Algebraic Geometry Algebraic Topology We solve a motivic version of the Adams conjecture with the exponential characteristic of the base field inverted. In the way of the proof we obtain a motivic version of mod k Dold theorem and give a motivic version of Brown's trick studying the homogeneous variety of maximal tori in a general linear group, which turns out to be not stably A1-connected. We also show that the higher motivic stable stems are of bounded torsion. |
| title | The motivic Adams conjecture |
| topic | K-Theory and Homology Algebraic Geometry Algebraic Topology |
| url | https://arxiv.org/abs/2310.00974 |