Affine surfaces with a huge group of automorphisms
classification
🧮 math.AG
keywords
affineautomorphismsfamilygeneratedgrouphugesubgroupsubgroups
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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.
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