Geodesic
Picard Groups, Weight Structures, and (noncommutative) Mixed Motives
Documenta mathematica, Tome 22 (2017), pp. 45-66
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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.
DOI : 10.4171/dm/559
Classification : 14A22, 14C15, 14F42, 55P43
Mots-clés : mixed motives, Picard group, weight structure, motivic spectra, noncommutative mixed motives, symmetric ring spectra, noncommutative algebraic geometry 
@article{10_4171_dm_559,
     author = {Mikhail Bondarko and Gon\c{c}alo Tabuada},
     title = {Picard {Groups,} {Weight} {Structures,} and (noncommutative) {Mixed} {Motives}},
     journal = {Documenta mathematica},
     pages = {45--66},
     year = {2017},
     volume = {22},
     doi = {10.4171/dm/559},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/559/}
}
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Mikhail Bondarko; Gonçalo Tabuada. Picard Groups, Weight Structures, and (noncommutative) Mixed Motives. Documenta mathematica, Tome 22 (2017), pp. 45-66. doi: 10.4171/dm/559

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