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https://scholarbank.nus.edu.sg/handle/10635/234645
Title: | Jordan property for automorphism groups of compact spaces in Fujiki's class $\mathcal{C}$ | Authors: | Meng, Sheng Perroni, Fabio Zhang, De-Qi |
Keywords: | math.AG math.AG math.GR 14J50, 32M05 |
Issue Date: | 19-Nov-2020 | Citation: | Meng, Sheng, Perroni, Fabio, Zhang, De-Qi (2020-11-19). Jordan property for automorphism groups of compact spaces in Fujiki's class $\mathcal{C}$. Journal of Topology, 15 (2022) 806-814. ScholarBank@NUS Repository. | Abstract: | Let $X$ be a compact complex space in Fujiki's Class $\mathcal{C}$. We show that the group $Aut(X)$ of all biholomorphic automorphisms of $X$ has the Jordan property: there is a (Jordan) constant $J = J(X)$ such that any finite subgroup $G\le Aut(X)$ has an abelian subgroup $H\le G$ with the index $[G:H]\le J$. This extends, with a quite different method, the result of Prokhorov and Shramov for Moishezon threefolds. | Source Title: | Journal of Topology, 15 (2022) 806-814 | URI: | https://scholarbank.nus.edu.sg/handle/10635/234645 |
Appears in Collections: | Staff Publications Elements |
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