On the strict Picard spectrum of commutative ring spectra

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We compute the connective spectra of maps from ℤ to the Picard spectra of the spherical Witt vectors associated with perfect rings of characteristic p. As an application, we determine the connective spectrum of maps from ℤ to the Picard spectrum of the sphere spectrum.

OriginalsprogEngelsk
TidsskriftCompositio Mathematica
Vol/bind159
Udgave nummer9
Sider (fra-til)1872-1897
Antal sider26
ISSN0010-437X
DOI
StatusUdgivet - 2023

Bibliografisk note

Funding Information:
First, I would like to thank Thomas Nikolaus for the discussions that led me to think about this problem. I want to also thank Robert Burklund, Dustin Clausen, Jeremy Hahn, Markus Land, Akhil Mathew, Tyler Lawson, Maxime Ramzi, Tomer M. Schlank, Lior Yanovski, and Allen Yuan for valuable conversations, comments, and ideas related to this project, and to Bastiaan Cnossen, Shay Ben-Moshe, Shay Keidar, Tomer M. Schlank, Allen Yuan, and the anonymous referee for their useful comments on an earlier draft. The author is partially supported by the Danish National Research Foundation through the Copenhagen Centre for Geometry and Topology (DNRF151).

Funding Information:
First, I would like to thank Thomas Nikolaus for the discussions that led me to think about this problem. I want to also thank Robert Burklund, Dustin Clausen, Jeremy Hahn, Markus Land, Akhil Mathew, Tyler Lawson, Maxime Ramzi, Tomer M. Schlank, Lior Yanovski, and Allen Yuan for valuable conversations, comments, and ideas related to this project, and to Bastiaan Cnossen, Shay Ben-Moshe, Shay Keidar, Tomer M. Schlank, Allen Yuan, and the anonymous referee for their useful comments on an earlier draft. The author is partially supported by the Danish National Research Foundation through the Copenhagen Centre for Geometry and Topology (DNRF151).

Publisher Copyright:
© 2023 The Author(s). The publishing rights in this article are licensed to Foundation Compositio Mathematica under an exclusive licence.

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