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arxiv: 1304.4189 · v1 · pith:3NJGPZL4new · submitted 2013-04-15 · 🧮 math.AG

Flexible bundles over rigid affine surfaces

classification 🧮 math.AG
keywords rigidaffinegroupsurfaceactsautomorphismautomorphismsbundles
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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.

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