Translator Disclaimer
VOL. 75 | 2017 On automorphism groups of affine surfaces
Sergei Kovalenko, Alexander Perepechko, Mikhail Zaidenberg

Editor(s) Kayo Masuda, Takashi Kishimoto, Hideo Kojima, Masayoshi Miyanishi, Mikhail Zaidenberg

Abstract

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.

Information

Published: 1 January 2017
First available in Project Euclid: 21 September 2018

zbMATH: 1396.14058
MathSciNet: MR3793368

Digital Object Identifier: 10.2969/aspm/07510207

Subjects:
Primary: 14R10, 14R20
Secondary: 14L30, 20E06

Rights: Copyright © 2017 Mathematical Society of Japan

PROCEEDINGS ARTICLE
80 PAGES


SHARE
RIGHTS & PERMISSIONS
Get copyright permission
Back to Top