Jordan property for automorphism groups of compact spaces in Fujiki's class C

Sheng Meng; Fabio Perroni; De Qi Zhang

doi:10.1112/topo.12247

Jordan property for automorphism groups of compact spaces in Fujiki's class C

Sheng Meng^*
, Fabio Perroni
, De Qi Zhang

^*此作品的通讯作者

Korea Institute for Advanced Study
University of Trieste
National University of Singapore

科研成果: 期刊稿件 › 文章 › 同行评审

12 引用（Scopus）

摘要

Let (Formula presented.) be a compact complex space in Fujiki's Class (Formula presented.). We show that the group (Formula presented.) of all biholomorphic automorphisms of (Formula presented.) has the Jordan property: there is a (Jordan) constant (Formula presented.) such that any finite subgroup (Formula presented.) has an abelian subgroup (Formula presented.) with the index (Formula presented.). This extends, with a quite different method, the result of Prokhorov and Shramov for Moishezon threefolds.

源语言	英语
页（从-至）	806-814
页数	9
期刊	Journal of Topology
卷	15
期	2
DOI	https://doi.org/10.1112/topo.12247
出版状态	已出版 - 6月 2022
已对外发布	是

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title = "Jordan property for automorphism groups of compact spaces in Fujiki's class C",

abstract = "Let (Formula presented.) be a compact complex space in Fujiki's Class (Formula presented.). We show that the group (Formula presented.) of all biholomorphic automorphisms of (Formula presented.) has the Jordan property: there is a (Jordan) constant (Formula presented.) such that any finite subgroup (Formula presented.) has an abelian subgroup (Formula presented.) with the index (Formula presented.). This extends, with a quite different method, the result of Prokhorov and Shramov for Moishezon threefolds.",

author = "Sheng Meng and Fabio Perroni and Zhang, \{De Qi\}",

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N2 - Let (Formula presented.) be a compact complex space in Fujiki's Class (Formula presented.). We show that the group (Formula presented.) of all biholomorphic automorphisms of (Formula presented.) has the Jordan property: there is a (Jordan) constant (Formula presented.) such that any finite subgroup (Formula presented.) has an abelian subgroup (Formula presented.) with the index (Formula presented.). This extends, with a quite different method, the result of Prokhorov and Shramov for Moishezon threefolds.

AB - Let (Formula presented.) be a compact complex space in Fujiki's Class (Formula presented.). We show that the group (Formula presented.) of all biholomorphic automorphisms of (Formula presented.) has the Jordan property: there is a (Jordan) constant (Formula presented.) such that any finite subgroup (Formula presented.) has an abelian subgroup (Formula presented.) with the index (Formula presented.). This extends, with a quite different method, the result of Prokhorov and Shramov for Moishezon threefolds.

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Jordan property for automorphism groups of compact spaces in Fujiki's class C

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