Jordan property for groups of bimeromorphic automorphisms of compact Kähler threefolds

IF 0.8 4区数学 Q2 MATHEMATICS

Sbornik Mathematics Pub Date : 2021-12-05 DOI:10.4213/sm9743e

A. Golota

引用次数: 4

Abstract

Let $X$ be a non-uniruled compact K\"ahler space of dimension 3. We show that the group of bimeromorphic automorphisms of $X$ is Jordan. More generally, the same result holds for any compact K\"ahler space admitting a quasi-minimal model.

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紧的双纯自同构群Kähler三叠的Jordan性质

设X是一个3维的非正则紧K\ \ ahler空间。证明了$X$的双纯自同构群是Jordan。更一般地说，同样的结果适用于任何允许准极小模型的紧K\ ahler空间。

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

Sbornik Mathematics 数学-数学

CiteScore

1.40

自引率

12.50%

发文量

审稿时长

6-12 weeks

期刊介绍： The Russian original is rigorously refereed in Russia and the translations are carefully scrutinised and edited by the London Mathematical Society. The journal has always maintained the highest scientific level in a wide area of mathematics with special attention to current developments in: Mathematical analysis Ordinary differential equations Partial differential equations Mathematical physics Geometry Algebra Functional analysis