Displaying similar documents to “Holomorphic group actions with few compact orbits”

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.

Two remarks on Kähler homogeneous manifolds

Bruce Gilligan, Karl Oeljeklaus (2008)

Annales de la faculté des sciences de Toulouse Mathématiques

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We prove that every Kähler solvmanifold has a finite covering whose holomorphic reduction is a principal bundle. An example is given that illustrates the necessity, in general, of passing to a proper covering. We also answer a stronger version of a question posed by Akhiezer for homogeneous spaces of nonsolvable algebraic groups in the case where the isotropy has the property that its intersection with the radical is Zariski dense in the radical.

Semistable quotients

Peter Heinzner, Luca Migliorini, Marzia Polito (1998)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Holomorphic symmetries

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

Annales scientifiques de l'École Normale Supérieure

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