Bounded-Degree Subgroups of the Cremona Group in $$\mathrm{CR}$$-Geometry

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.

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Publication Details

Journal
Functional Analysis and Its Applications
Published
2024-12-01
DOI
https://doi.org/10.1134/s0016266324040087
Primary Topic
Advanced Topics in Algebra
Type
article
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article

Bounded-Degree Subgroups of the Cremona Group in $$\mathrm{CR}$$-Geometry

V. K. Beloshapka
Functional Analysis and Its Applications
Advanced Topics in Algebra
article

Bounded-Degree Subgroups of the Cremona Group in $$\mathrm{CR}$$-Geometry

V. K. Beloshapka
article en

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.

Functional Analysis and Its ApplicationsVol. 58(4)
Lomonosov Moscow State University (RU)
Reduced inequalities
Openalex Percentile: Top 56%
Advanced Topics in Algebra
DOISourceOpenAlex
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Bounded-Degree Subgroups of the Cremona Group in $\mathrm{CR}$-Geometry — V. K. Beloshapka · Functional Analysis and Its Applications (2024) | TGRS Research Map | TGRS