Chromatic cyclotomic extensions
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.
Authors
- Tomer M. Schlank (ORCID: https://orcid.org/0000-0002-5443-6526)
- Lior Yanovski (ORCID: https://orcid.org/0000-0003-3376-1773)
- Shachar Carmeli (ORCID: https://orcid.org/0000-0003-3621-410X)
Institutions
- Hebrew University of Jerusalem (IL)
- Max Planck Institute for Mathematics (DE)
- Weizmann Institute of Science (IL)
Publication Details
- Journal
- Geometry & Topology
- Published
- 2024-12-20
- DOI
- https://doi.org/10.2140/gt.2024.28.3511
- Citations
- 6
- Primary Topic
- Algebraic Geometry and Number Theory
- Type
- article
- Field-Weighted Citation Impact
- 4.05
Funders
- Johns Hopkins University