Infinite-dimensionality of the automorphism groups of homogeneous Stein manifolds

Huckleberry, Alan; Isaev, Alexander

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Infinite-dimensionality of the automorphism groups of homogeneous Stein manifolds

Date

2009

Authors

Huckleberry, Alan

Isaev, Alexander

Publisher

Springer

Abstract

We show that the group Autscript O sign(X) of holomorphic automorphisms of a Stein manifold X with dim X ≥ 2 is infinite-dimensional, provided X is a homogeneous space of a holomorphic action of a complex Lie group.

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http://hdl.handle.net/1885/27947

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ANU Research Publications

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Mathematische Annalen

Type

Journal article

DOI

10.1007/s00208-008-0304-6

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2037-12-31

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Infinite-dimensionality of the automorphism groups of homogeneous Stein manifolds

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