Zusammenfassung
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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Knop, F., Kraft, H., Vust, T. (1989). The Picard Group of a G-Variety. In: Kraft, H., Slodowy, P., Springer, T.A. (eds) Algebraische Transformationsgruppen und Invariantentheorie Algebraic Transformation Groups and Invariant Theory. DMV Seminar, vol 13. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7662-9_5
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DOI: https://doi.org/10.1007/978-3-0348-7662-9_5
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