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Funktsional'nyi Analiz i ego Prilozheniya, 2024, Volume 58, Issue 4, Pages 138–141
DOI: https://doi.org/10.4213/faa4190 (Mi faa4190) 		 
Brief communications

Subgroups of Cremona group of bounded degree in $CR$ geometry

V. K. Beloshapkaab

a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Moscow, Russia
b Moscow Center for Fundamental and Applied Mathematics, Lomonosov Moscow State University, Moscow, Russia
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DOI: https://doi.org/10.4213/faa4190
Abstract: In the paper, a description of the subgroups of uniformly bounded degree of the Cremona group of arbitrary rank is given. Such subgroups appear naturally in CR geometry as subgroups of holomorphic automorphisms of nondegenerate model surfaces.
Keywords: CR geometry, model surface, Cremona group.
Funding agency Grant number
Russian Science Foundation 23-21-00109
This work was supported by the Russian Science Foundation under grant no 23-21-00109, https://rscf.ru/en/project/23-21-00109/.
Received: 15.12.2023
Revised: 02.02.2024
Accepted: 20.03.2024
Document Type: Article
MSC: 32V40
Language: Russian
Citation: V. K. Beloshapka, “Subgroups of Cremona group of bounded degree in $CR$ geometry”, Funktsional. Anal. i Prilozhen., 58:4 (2024), 138–141
Citation in format AMSBIB
\Bibitem{Bel24}
\by V.~K.~Beloshapka
\paper Subgroups of Cremona group of bounded degree in $CR$ geometry
\jour Funktsional. Anal. i Prilozhen.
\yr 2024
\vol 58
\issue 4
\pages 138--141
\mathnet{http://mi.mathnet.ru/faa4190}
\crossref{https://doi.org/10.4213/faa4190}
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