2015/12/30 by Mikhail Bondarko, Bondarko, Mikhail, Goncalo Tabuada +1
Mathematics · #14A22 #14C15 #14F42 #18E30 #55P43 #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #Category Theory (math.CT) #FOS: Mathematics #K-Theory and Homology (math.KT) #Representation Theory (math.RT) #math.AG #math.AT #math.CT #math.KT #math.RT #msc:14A22 #msc:14C15 #msc:14F42 #msc:18E30 #msc:55P43
paper · pdf · doi:10.48550/arxiv.1512.09101
18 pages. Revised version
arxiv created 2016/01/04 · arxiv updated 2016/01/05
We develop a general theory which 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, motivic spectra, noncommutative mixed Artin motives, noncommutative mixed motives of central simple algebras, noncommutative mixed motives of separable algebras - as well as the Picard group of the derived categories of symmetric ring spectra.