Chromatic Cyclotomic Extensions
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866917877599174656 |
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| author | Carmeli, Shachar Schlank, Tomer M. Yanovski, Lior |
| author_facet | Carmeli, Shachar Schlank, Tomer M. Yanovski, Lior |
| contents | We construct Galois extensions of the T(n)-local sphere, lifting all finite abelian Galois extensions of the K(n)-local sphere. This is achieved by realizing them as higher semiadditive analogues of cyclotomic extensions. Combining this with a general form of Kummer theory, we lift certain elements from the K(n)-local Picard group to the T(n)-local Picard group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2103_02471 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Chromatic Cyclotomic Extensions Carmeli, Shachar Schlank, Tomer M. Yanovski, Lior Algebraic Topology 55P42 We construct Galois extensions of the T(n)-local sphere, lifting all finite abelian Galois extensions of the K(n)-local sphere. This is achieved by realizing them as higher semiadditive analogues of cyclotomic extensions. Combining this with a general form of Kummer theory, we lift certain elements from the K(n)-local Picard group to the T(n)-local Picard group. |
| title | Chromatic Cyclotomic Extensions |
| topic | Algebraic Topology 55P42 |
| url | https://arxiv.org/abs/2103.02471 |