A. Yu. Perepechko, “Automorphisms of Surfaces of Markov Type”, Mat. Zametki, 2021, Volume 110, Issue 5,Pages <nobr>744

Automorphisms of Surfaces of Markov Type

A. Yu. Perepechko^abc

^a Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow
^b Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region
^c National Research University "Higher School of Economics", Moscow

Abstract: Affine algebraic surfaces of Markov type of the form
$$ x^2+y^2+z^2-xyz=c $$
are studied. Their automorphism groups are found.

Keywords: affine surface, automorphism group, Thompson group, Markov numbers, birational transformations, boundary divisor.

UDC: 512.774.2+512.774.42+511.176

Received: 12.03.2020
Revised: 21.06.2021

DOI: 10.4213/mzm13263