Flexible bundles over rigid affine surfaces

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TitreFlexible bundles over rigid affine surfaces
Type de publicationJournal Article
Year of Publication2015
AuteursDubouloz A
JournalCOMMENTARII MATHEMATICI HELVETICI
Volume90
Pagination121-137
Type of ArticleArticle
ISSN0010-2571
Mots-clésMakar-Limanov invariant, rational surfaces, Rigid and flexible varieties, stable rigidity
Résumé

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 x 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.

DOI10.4171/CMH/348