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

IF 0.6 4区数学 Q3 MATHEMATICS

Functional Analysis and Its Applications Pub Date : 2025-01-20 DOI:10.1134/S0016266324040087

Valerii Beloshapka

引用次数: 0

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.

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\(\mathrm{CR}\) -几何中Cremona群的有界次群

描述了任意秩Cremona群中一致有界度元素的子群。这些子群在\(\mathrm{CR}\) -几何中作为非简并齐次模型曲面的全纯自同构群自然出现。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Functional Analysis and Its Applications 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Functional Analysis and Its Applications publishes current problems of functional analysis, including representation theory, theory of abstract and functional spaces, theory of operators, spectral theory, theory of operator equations, and the theory of normed rings. The journal also covers the most important applications of functional analysis in mathematics, mechanics, and theoretical physics.