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Regular version of the site

Book chapter

On automorphism groups of affine surfaces

P. 207-286.
Perepechko A., Zaidenberg M., Kovalenko S.

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.

In book

Vol. 75: Algebraic Varieties and Automorphism Groups. Tokyo: The Mathematical Society of Japan, 2017.