Flexible bundles over rigid affine surfaces

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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Flexible bundles over rigid affine surfacesHTML
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Field	Value
Source	https://hal.science/hal-00813497
Author	Dubouloz, Adrien
Maintainer	CCSD
Last Updated	May 11, 2026, 11:55 (UTC)
Created	May 11, 2026, 11:55 (UTC)
Identifier	hal-00813497
Language	en
Rights	https://about.hal.science/hal-authorisation-v1/
contributor	Institut de Mathématiques de Bourgogne [Dijon] (IMB) ; Université de Bourgogne (UB)-Centre National de la Recherche Scientifique (CNRS)
creator	Dubouloz, Adrien
date	2013-04-15T00:00:00
harvest_object_id	d60cbecd-4657-4842-a7cd-42bd2c6a3446
harvest_source_id	3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title	test moissonnage SELUNE
metadata_modified	2025-03-31T00:00:00
relation	info:eu-repo/semantics/altIdentifier/arxiv/1304.4189
set_spec	type:UNDEFINED