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Pré-Publication, Document De Travail Année : 2013

Affine surfaces with a huge group of automorphisms

Résumé

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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Dates et versions

hal-00789110 , version 1 (15-02-2013)

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Jérémy Blanc, Adrien Dubouloz. Affine surfaces with a huge group of automorphisms. 2013. ⟨hal-00789110⟩
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