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Article Dans Une Revue Advanced Studies in Pure Mathematics. Année : 2017

Оn automorphism groups of affine surfaces

Résumé

This is a survey on the automorphism groups in various classes of affine algebraic surfaces and the algebraic group actions on such surfaces. Being infinite-dimensional, these automorphism groups share some important features of algebraic groups. At the same time, they can be studied from the viewpoint of the combinatorial group theory, so we put a special accent on group-theoretical aspects (ind-groups, amalgams, etc.). We provide different approaches to classification, prove certain new results, and attract attention to several open problems.
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Dates et versions

hal-01235237 , version 1 (29-11-2015)
hal-01235237 , version 2 (06-08-2016)

Identifiants

  • HAL Id : hal-01235237 , version 2

Citer

Sergei Kovalenko, Alexander Perepechko, Mikhail Zaidenberg. Оn automorphism groups of affine surfaces. Advanced Studies in Pure Mathematics., 2017, Algebraic Varieties and Automorphism Groups, 75, pp.207--286. ⟨hal-01235237v2⟩
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