The Picard group of a G-variety
(joint work with Hanspeter Kraft and Thierry Vust)
Let G be connected linear algebraic group acting on a variety X. In this note,
the group of G-linearized line bundles on X is studied. For once, this is
needed for one of the proofs of Sumihiro's Theorem. On
the other hand, it has interesting applications to the Picard group of the
categorical quotient X//G, in case X is affine.
Appeared in: Algebraische Transformationsgruppen und
Invariantentheorie (H. Kraft, P. Slodowy, T. Springer eds.)
DMV-Seminar 13, Birkhäuser Verlag (Basel-Boston)
(1989) 77-88
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Last updated: May 24, 2005