Asian Journal of Mathematics

Volume 24 (2020)

Number 2

Automorphism groups of Inoue and Kodaira surfaces

Pages: 355 – 368

DOI: https://dx.doi.org/10.4310/AJM.2020.v24.n2.a8

Authors

Yuri Prokhorov (Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia; and National Research University Higher School of Economics, Laboratory of Algebraic Geometry, Moscow, Russia)

Constantin Shramov (Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia; and National Research University Higher School of Economics, Laboratory of Algebraic Geometry, Moscow, Russia)

Abstract

We prove that automorphism groups of Inoue and primary Kodaira surfaces are Jordan.

Keywords

automorphism group, Jordan property, Inoue surface, Kodaira surface

2010 Mathematics Subject Classification

14E07

This work is supported by the Russian Science Foundation under grant №18-11-00121.

Received 11 December 2018

Accepted 21 June 2019

Published 8 September 2020