We construct a smooth rational affine surface S with finite automorphism group but with the property that the group of automorphisms of the cylinder S × 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.
No takes yet. Share an insight, caveat, or question.
Adrien Dubouloz (2015) studied this question.
Synapse has enriched 5 related papers. Consider them for comparative context: