English

B\"okstedt periodicity and quotients of DVRs

Algebraic Topology 2019-07-09 v1 K-Theory and Homology

Abstract

In this note we compute the topological Hochschild homology of quotients of DVRs. Along the way we give a short argument for B\"okstedt periodicity and generalizations over various other bases. Our strategy also gives a very efficient way to redo the computations of THH (resp. logarithmic THH) of complete DVRs originally due to Lindenstrauss-Madsen (resp. Hesselholt-Madsen).

Keywords

Cite

@article{arxiv.1907.03477,
  title  = {B\"okstedt periodicity and quotients of DVRs},
  author = {Achim Krause and Thomas Nikolaus},
  journal= {arXiv preprint arXiv:1907.03477},
  year   = {2019}
}

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35 pages