Linearization of group stack actions and the Picard group of the moduli of $\SL_r/μ

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/148394We first study the descent theory of line bundles under a morphism which is tors or under a group stack and then use this technical result to determine the exact structure of $\Pic(\M_G)$ where $G=\SL_r/μ_s$ (we include a minor modification to explain the genus 0 case).13 pages, PlainTexAlgebraic GeometryLinearization of group stack actions and the Picard group of the moduli of $\SL_r/μ_s$-bundles on a curvetext