Commentarii Mathematici Helvetici


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Volume 90, Issue 1, 2015, pp. 121–137
DOI: 10.4171/CMH/348

Published online: 2015-02-23

Flexible bundles over rigid affine surfaces

Adrien Dubouloz[1]

(1) Université de Bourgogne, Dijon, France

We construct a smooth rational ane surface $S$ with finite automorphism group but with the property that the group of automorphisms of the cylinder $S \times \mathbb A^2$ acts infinitely transitively on the complement of a closed subset of codimension at least two. Such a surface $S$ is in particular rigid but not stably rigid with respect to the Makar-Limanov invariant.

Keywords: Rigid and flexible varieties, stable rigidity, rational surfaces, Makar-Limanov invariant

Dubouloz Adrien: Flexible bundles over rigid affine surfaces. Comment. Math. Helv. 90 (2015), 121-137. doi: 10.4171/CMH/348