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 language | English |
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Pages (from-to) | 45-66 |
Number of pages | 22 |
Journal | Documenta Mathematica |
Volume | 22 |
Issue number | 2017 |
Publication status | Published - 1 Jan 2017 |
Keywords
- Mixed motives
- Motivic spectra
- Noncommutative algebraic geometry
- Noncommutative mixed motives
- Picard group
- Symmetric ring spectra
- Weight structure