# The Picard Group of a G-Variety

@inproceedings{Knop1989ThePG, title={The Picard Group of a G-Variety}, author={Friedrich Knop and Hanspeter Kraft and Thierry Vust}, year={1989} }

Let G be a reductive algebraic group and X an algebraic G-variety which admits a quotient it: X → X//G. In this article we describe several results concerning the Picard group Pic(X//G) of the quotient and the group Picc(X) of G-line bundles on X. For some further development of the subject we refer to the survey articles [Kr89a], [Kr89b].

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