Geodesic
The line bundles on moduli stacks of principal bundles on a curve
Documenta mathematica, Tome 15 (2010), pp. 35-72.

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

Summary: Let $G$ be an affine reductive algebraic group over an algebraically closed field $k$. We determine the Picard group of the moduli stacks of principal $G$--bundles on any smooth projective curve over $k$.
Classification : 14C22, 14D20, 14H10
Keywords: principal bundle, moduli stack, Picard group 
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     title = {The line bundles on moduli stacks of principal bundles on a curve},
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Biswas, Indranil; Hoffmann, Norbert. The line bundles on moduli stacks of principal bundles on a curve. Documenta mathematica, Tome 15 (2010), pp. 35-72. http://geodesic.mathdoc.fr/item/DOCMA_2010__15__a32/