The additive group actions on -homology planes
Annales de l'Institut Fourier, Volume 53 (2003) no. 2, pp. 429-464.

In this article, we prove that a -homology plane X with two algebraically independent G a -actions is isomorphic to either the affine plane or a quotient of an affine hypersurface xy=z m -1 in the affine 3-space via a free /m-action, where m is the order of a finite group H 1 (X;).

Dans cet article, on démontre qu’un plan -acyclique X avec deux actions du groupe additif G a qui sont algébriquement indépendantes, est isomorphe au plan affine ou bien au quotient d’une hypersurface affine xy=z n -1 dans l’espace affine de dimension 3 par une action de /m, où m est l’ordre d’un groupe fini H 1 (X;)

DOI: 10.5802/aif.1949
Classification: 14L30,  14R20,  14J26
Keywords: -homology plane, additive group action, Makar-Limanov invariant
Masuda, Kayo 1; Miyanishi, Masayoshi 

1 Himeji Institute of Technology, Mathematical Sciences II, 2167 Shosha, Himeji 671-2201 (Japon)
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Masuda, Kayo; Miyanishi, Masayoshi. The additive group actions on ${\mathbb {Q}}$-homology planes. Annales de l'Institut Fourier, Volume 53 (2003) no. 2, pp. 429-464. doi : 10.5802/aif.1949. https://aif.centre-mersenne.org/articles/10.5802/aif.1949/

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