Jordan property for automorphism groups of compact spaces in Fujiki's class C$\mathcal {C}$
نویسندگان
چکیده
Let X $X$ be a compact complex space in Fujiki's Class C $\mathcal {C}$ . We show that the group Aut ( ) $\operatorname{Aut}(X)$ of all biholomorphic automorphisms has Jordan property: there is (Jordan) constant J = $J J(X)$ such any finite subgroup G ⩽ $G\leqslant \operatorname{Aut}(X)$ an abelian H $H\leqslant G$ with index [ : ] $[G:H]\leqslant J$ This extends, quite different method, result Prokhorov and Shramov for Moishezon threefolds.
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ژورنال
عنوان ژورنال: Journal of Topology
سال: 2022
ISSN: ['1753-8424', '1753-8416']
DOI: https://doi.org/10.1112/topo.12247