Infinite-dimensionality of the automorphism groups of homogeneous Stein manifolds

Alan Huckleberry; Alexander Isaev

doi:10.1007/s00208-008-0304-6

Infinite-dimensionality of the automorphism groups of homogeneous Stein manifolds

Alan Huckleberry, Alexander Isaev^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

We show that the group Aut_{script 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.

Original language	English
Pages (from-to)	279-291
Number of pages	13
Journal	Mathematische Annalen
Volume	344
Issue number	2
DOIs	https://doi.org/10.1007/s00208-008-0304-6
Publication status	Published - Jun 2009

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title = "Infinite-dimensionality of the automorphism groups of homogeneous Stein manifolds",

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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JO - Mathematische Annalen

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Infinite-dimensionality of the automorphism groups of homogeneous Stein manifolds

Abstract

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