Complex Bott Periodicity in algebraic geometry
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866914023504609280 |
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| author | Larson, Hannah Vakil, Ravi |
| author_facet | Larson, Hannah Vakil, Ravi |
| contents | We state and prove a form of Bott periodicity (for $U(n)$) in an algebraic setting (so, $GL(n)$) which makes sense over $\mathbb{Z}$, which also specializes to Bott periodicity in the usual sense (hence giving yet another proof of classical Bott periodicity). An appendix by B. Church gives a specialization of the constructions and results to motivic homotopy theory, which may be of independent interest. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_09122 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Complex Bott Periodicity in algebraic geometry Larson, Hannah Vakil, Ravi Algebraic Geometry We state and prove a form of Bott periodicity (for $U(n)$) in an algebraic setting (so, $GL(n)$) which makes sense over $\mathbb{Z}$, which also specializes to Bott periodicity in the usual sense (hence giving yet another proof of classical Bott periodicity). An appendix by B. Church gives a specialization of the constructions and results to motivic homotopy theory, which may be of independent interest. |
| title | Complex Bott Periodicity in algebraic geometry |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2411.09122 |