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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

Bounded-degree subgroups of the Cremona group in $\mathrm{CR}$-geometry

Valerii 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: We describe subgroups of elements of uniformly bounded degrees in Cremona groups of arbitrary rank. These subgroups appear naturally in $\mathrm{CR}$-geometry as holomorphic automorphism groups of nondegenerate homogeneous model surfaces.
Keywords: $\mathrm{CR}$-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 № 23-21-00109, https://rscf.ru/en/project/23-21-00109/.
Received: 15.12.2023
Revised: 02.02.2024
Accepted: 20.03.2024
English version:
Functional Analysis and Its Applications, 2024, Volume 58, Issue 4, Pages 451–453
DOI: https://doi.org/10.1134/S0016266324040087
Document Type: Article
MSC: 32V40
Language: Russian
Citation: Valerii Beloshapka, “Bounded-degree subgroups of the Cremona group in $\mathrm{CR}$-geometry”, Funktsional. Anal. i Prilozhen., 58:4 (2024), 138–141; Funct. Anal. Appl., 58:4 (2024), 451–453
Citation in format AMSBIB
\Bibitem{Bel24}
\by Valerii Beloshapka
\paper Bounded-degree subgroups of the Cremona group in~$\mathrm{CR}$-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}
\transl
\jour Funct. Anal. Appl.
\yr 2024
\vol 58
\issue 4
\pages 451--453
\crossref{https://doi.org/10.1134/S0016266324040087}
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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