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On a result of Miyanishi-Masuda
Authors:Hubert Flenner  Mikhail Zaidenberg
Institution:1. Fakult?t für Mathematik, Ruhr Universit?t Bochum, Geb. NA 2/72, Universit?tsstrasse 150, D-44780, Bochum, Germany
2. Institut Fourier UMR 5582 CNRS-UJF, Université Grenoble I, BP 74, F-38402, St. Martin d’Hères cédex, France
Abstract:Let X be an affine surface admitting a unique affine ruling and a $$\mathbb{C}^*$$ -action. Assume that the ruling has a unique degenerate fibre and that this fibre is irreducible. In this paper we give a short proof of the following result of Miyanishi and Masuda: the universal covering of X is a hypersurface in the affine 3-space given by the equation xmy = zd − 1, where m > 1. Received: 13 June 2005
Keywords:14R05  14R20  14R25
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