Geodesic
Picard Groups, Weight Structures, and (noncommutative) Mixed Motives
Documenta mathematica, Tome 22 (2017), pp. 45-66.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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.
Classification : 14A22, 14C15, 14F42, 18E30, 55P43
Keywords: Picard group, weight structure, mixed motives, motivic spectra, noncommutative mixed motives, symmetric ring spectra, noncommutative algebraic geometry 
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     author = {Bondarko, Mikhail and Tabuada, Gon\c{c}alo},
     title = {Picard {Groups,} {Weight} {Structures,} and (noncommutative) {Mixed} {Motives}},
     journal = {Documenta mathematica},
     pages = {45--66},
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     volume = {22},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2017__22__a50/}
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Bondarko, Mikhail; Tabuada, Gonçalo. Picard Groups, Weight Structures, and (noncommutative) Mixed Motives. Documenta mathematica, Tome 22 (2017), pp. 45-66. http://geodesic.mathdoc.fr/item/DOCMA_2017__22__a50/