Picard groups, weight structures, and (noncommutative) mixed motives

Mikhail Bondarko, Gonçalo Tabuada

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We develop a general theory which, under certain assumptions, enables the computation of the Picard group of a symmetric monoidal triangulated category equipped with a weight structure in terms of the Picard group of the associated heart. As an application, we compute the Picard group of several categories of motivic nature - mixed Artin motives, mixed Artin-Tate motives, bootstrap motivic spectra, noncommutative mixed Artin motives, noncommutative mixed motives of central simple algebras - as well as the Picard group of certain derived categories of symmetric ring spectra.

Original languageEnglish
Pages (from-to)45-66
Number of pages22
JournalDocumenta Mathematica
Volume22
Issue number2017
Publication statusPublished - 1 Jan 2017

Keywords

  • Mixed motives
  • Motivic spectra
  • Noncommutative algebraic geometry
  • Noncommutative mixed motives
  • Picard group
  • Symmetric ring spectra
  • Weight structure

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