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A classification of taut, Stein surfaces with a proper \({\mathbb{R}}\)-action

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Abstract

We present a classification of 2-dimensional, taut, Stein manifolds with a proper \({\mathbb{R}}\)-action. For such manifolds the globalization with respect to the induced local \({\mathbb{C}}\)-action turns out to be Stein. As an application we determine all 2-dimensional taut, non-complete, Hartogs domains over a Riemann surface.

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Iannuzzi, A., Trapani, S. A classification of taut, Stein surfaces with a proper \({\mathbb{R}}\)-action. Math. Ann. 352, 965–986 (2012). https://doi.org/10.1007/s00208-011-0664-1

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  • DOI: https://doi.org/10.1007/s00208-011-0664-1

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