Affine Surfaces With a Huge Group of Automorphisms

Blanc Jeremy<sup>*</sup>; Dubouloz Adrien

doi:10.1093/imrn/rnt202

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Affine Surfaces With a Huge Group of Automorphisms

作者：Blanc Jeremy^*; Dubouloz Adrien

来源：International Mathematics Research Notices, 2015, 2015(2): 422-459.

DOI：10.1093/imrn/rnt202

摘要

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