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Automorphisms of Surfaces of Markov Type
A. Yu. Perepechkoabc 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.
Received: 12.03.2020 Revised: 21.06.2021
Citation:
A. Yu. Perepechko, “Automorphisms of Surfaces of Markov Type”, Mat. Zametki, 110:5 (2021), 744–750; Math. Notes, 110:5 (2021), 732–737
Linking options:
https://www.mathnet.ru/eng/mzm13263https://doi.org/10.4213/mzm13263 https://www.mathnet.ru/eng/mzm/v110/i5/p744
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Abstract page: | 251 | Full-text PDF : | 75 | References: | 29 | First page: | 11 |
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