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Funktsional'nyi Analiz i ego Prilozheniya, Forthcoming paper (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
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: 02.02.2023
Accepted: 20.03.2024
Document Type: Article
MSC: 32V40
Language: Russian
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