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

Yves Laszlo

arxiv: alg-geom/9610002 · v2 · submitted 1996-10-03 · alg-geom · math.AG

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

Yves Laszlo This is my paper

classification alg-geom math.AG

keywords groupbundlesstackunderactionscasecurvedescent

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

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