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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

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.

Original language	English
Pages (from-to)	806-814
Number of pages	9
Journal	Journal of Topology
Volume	15
Issue number	2
DOIs	https://doi.org/10.1112/topo.12247
State	Published - Jun 2022
Externally published	Yes

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10.1112/topo.12247

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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\}",

note = "Publisher Copyright: {\textcopyright} 2022 The Authors. The publishing rights in this article are licensed to the London Mathematical Society under an exclusive licence.",

year = "2022",

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doi = "10.1112/topo.12247",

language = "英语",

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AU - 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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DO - 10.1112/topo.12247

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

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