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.

Original languageEnglish
JournalCompositio Mathematica
Volume159
Issue number9
Pages (from-to)1872-1897
Number of pages26
ISSN0010-437X
DOIs
Publication statusPublished - 2023

Bibliographical note

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

    Research areas

  • higher algebra, Picard spectrum, ring spectra, sphere spectrum, strict units

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