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Article Dans Une Revue Archiv der Mathematik Année : 2006

On a result of Miyanishi-Masuda

Mikhail Zaidenberg

Résumé

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 $x^my=z^d-1$, where $m>1$.

Mots clés

Dates et versions

hal-00323520 , version 1 (22-09-2008)

Identifiants

Citer

Hubert Flenner, Mikhail Zaidenberg. On a result of Miyanishi-Masuda. Archiv der Mathematik, 2006, 87 (1), pp.15-18. ⟨hal-00323520⟩

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