Affine surfaces with a huge group of automorphisms
Algebraic Geometry
2013-02-18 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1302.3813,
title = {Affine surfaces with a huge group of automorphisms},
author = {Jérémy Blanc and Adrien Dubouloz},
journal= {arXiv preprint arXiv:1302.3813},
year = {2013}
}