English

Flexible bundles over rigid affine surfaces

Algebraic Geometry 2013-04-16 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1304.4189,
  title  = {Flexible bundles over rigid affine surfaces},
  author = {Adrien Dubouloz},
  journal= {arXiv preprint arXiv:1304.4189},
  year   = {2013}
}
R2 v1 2026-06-21T23:59:54.871Z