Infinite-dimensionality of the Automorphism Groups of Homogeneous Stein Manifolds

Alan Huckleberry; Alexander Isaev

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arXiv · 0806.0693

Infinite-dimensionality of the Automorphism Groups of Homogeneous Stein Manifolds

Alan Huckleberry·Alexander Isaev

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Abstract

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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Alan Huckleberry, Alexander Isaev. 2008-06-04. Infinite-dimensionality of the Automorphism Groups of Homogeneous Stein Manifolds. https://arxiv.org/abs/0806.0693

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