Affine lines on Q-homology planes and group actions

Mikhail Zaidenberg (1)

1 IF - Institut Fourier

This note is a supplement to the papers: R. V. Gurjar, K. Masuda, M. Miyanishi and P. Russell, Affine lines on affine surfaces and the Makar-Limanov invariant, preprint, 2005, 42p. and T. Kishimoto and H. Kojima, Affine lines on {\bf Q}-homology planes with logarithmic Kodaira dimension $-\infty$, Transform. Groups 11 (2006), no. 4 (to appear). We show the role of group actions in classification of affine lines on {\bf Q}-homology planes.

Mots clés: {\bf Q}-acyclic surface; {\bf Q}-homology plane

Domaines: Géométrie algébrique [math.AG]

Mikhail Zaidenberg. Affine lines on Q-homology planes and group actions. Transformation Groups, 2006, Transformation Groups, 11 (4), pp.725-735. ⟨10.1007/s00031-005-1122-5⟩. ⟨hal-00113192⟩