Linearization of group stack actions and the Picard group of the moduli of $\SL_r/μ_s$-bundles on a curve

Details Linearization of group stack actions and the Picard group of the moduli of $\SL_r/μ_s$-bundles on a curve Linearization of group stack actions and the Picard group of the moduli of $\SL_r/μ_s$-bundles on a curve

1996-10-03

arxiv.org/abs/alg-geom/9610002v2

Mathematics

Algebraic Geometry

13 pages, PlainTex

Scientific paper

We 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 $G=\SL_r/\mu_s$ (we include a minor
modification to explain the genus 0 case).

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