Infinite-dimensionality of the Automorphism Groups of Homogeneous Stein Manifolds
classification
🧮 math.CV
keywords
groupholomorphichomogeneoussteinactionautomorphismautomorphismscomplex
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We show that the group of holomorphic automorphisms of a Stein manifold X of dimension greater than 1 is infinite-dimensional, provided X is a homogeneous space of a holomorphic action of a complex Lie group.
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