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Displaying similar documents to “Semistable quotients”

On invariant domains in certain complex homogeneous spaces

Xiang-Yu Zhou (1997)

Annales de l'institut Fourier

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Given a compact connected Lie group K . For a relatively compact K -invariant domain D in a Stein K -homogeneous space, we prove that the automorphism group of D is compact and if K is semisimple, a proper holomorphic self mapping of D is biholomorphic.

Holomorphic symmetries

H. Blaine Lawson, Stephen S.-T. Yau (1987)

Annales scientifiques de l'École Normale Supérieure

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On compact orbits in singular Kähler spaces

Jörg Winkelmann (1997)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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For a complex solvable Lie group acting holomorphically on a Kähler manifold every closed orbit is isomorphic to a torus and any two such tori are isogenous. We prove a similar result for singular Kähler spaces.