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Spherical Stein spaces - MaRDI portal

Spherical Stein spaces (Q1882777)

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Spherical Stein spaces
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    Spherical Stein spaces (English)
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    1 October 2004
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    Let \(X\) be an irreducible reduced complex space on which a connected compact Lie group \(K\) acts by holomorphic automorphisms. The authors introduce the notion of spherical Stein space, give some interesting characterizations of such spaces (e.g. a connected Stein manifold \(X\) is spherical iff the algebra of \(K\)-invariant differential operators on \(X\) is commutative) and provide some useful examples for further study.
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    spherical Stein space
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    complex Lie group of holomorphic automorphisms
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    Stein manifold
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    differential operators
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