Flexible bundles over rigid affine surfaces

Adrien Dubouloz (1)

1 IMB - Institut de Mathématiques de Bourgogne [Dijon]

We construct a smooth rational affine surface S with finite automorphism group but with the property that the group of automorphisms of the cylinder SxA^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.

Mots clés: flexible affine varieties; rigid surfaces; stability

Domaines: Géométrie algébrique [math.AG]

Adrien Dubouloz. Flexible bundles over rigid affine surfaces. 2013. ⟨hal-00813497⟩