Affine surfaces with a huge group of automorphisms

We describe a family of rational affine surfaces S with huge groups of automorphisms in the following sense: the normal subgroup of Aut(S) generated by all its algebraic subgroups is not generated by any countable family of such subgroups, and the quotient of Aut(S) by this subgroup contains a free group over an uncountable set of generators.

Data and Resources

Affine surfaces with a huge group of automorphismsHTML
Explore
- More information
- Go to resource

Additional Info

Field	Value
Source	https://hal.science/hal-00789110
Author	Blanc, Jérémy, Dubouloz, Adrien
Maintainer	CCSD
Last Updated	May 14, 2026, 11:02 (UTC)
Created	May 14, 2026, 11:02 (UTC)
Identifier	hal-00789110
Language	en
Rights	https://about.hal.science/hal-authorisation-v1/
contributor	Université de Bâle = University of Basel = Basel Universität (Unibas)
creator	Blanc, Jérémy
date	2013-02-15T00:00:00
harvest_object_id	fbaaea36-d7da-4571-abbc-7da299308e18
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/1302.3813
set_spec	type:UNDEFINED