Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 3511-3564 |
| Number of pages | 54 |
| Journal | Geometry and Topology |
| Volume | 28 |
| Issue number | 8 |
| DOIs | |
| State | Published - 2024 |
Bibliographical note
Publisher Copyright:© 2024 The Authors.
Keywords
- Galois
- Picard
- chromatic homotopy
- cyclotomic extensions