References
[H]P. Heinzner, Geometric invariant theory on Stein spaces, Math. Ann. 289 (1991), 631–662.
[HHuL]P. Heinzner, A.T. Huckleberry, F. Loose, Kählerian extension of the sympletic reduction, to appear in J. reine u. angew. Math.
[KN]G. Kempf, L. Ness, The length of vectors in representation spaces, in “Algebraic Geometry”, Lecture Notes in Mathematics 732, Springer (1979), 233–244.
[Ki]F.C. Kirwan, Cohomology of Quotients in Symplectic and Algebraic Geometry, Princeton University Press, 1984.
[S]R. Sjamaar, Holomorphic slices, symplectic reduction and multiplicities of representations, Preprint MIT 1993.
[Sc]G.W. Schwarz, The topology of algebraic quotients, in “Topological Methods in Algebraic Transformation Groups”, Progress in Mathematics 80, Birkhäuser (1989), 135–151.
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The research was supported by the Sonderforschungsbereich 237 “Unordnung und große Fluktuationen” on the Deutsche Forschungsgemeinschaft.
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Heinzner, P., Loose, F. Reduction of complex HamiltonianG-spaces. Geometric and Functional Analysis 4, 288–297 (1994). https://doi.org/10.1007/BF01896243
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DOI: https://doi.org/10.1007/BF01896243