Chromatic cyclotomic extensions

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Pages (from-to)3511-3564
Number of pages54
JournalGeometry and Topology
Volume28
Issue number8
DOIs
StatePublished - 2024

Bibliographical note

Publisher Copyright:
© 2024 The Authors.

Keywords

  • chromatic homotopy
  • cyclotomic extensions
  • Galois
  • Picard

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