Let X be a compact complex space in Fujiki's Class 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≤Aut(X) has an abelian subgroup H≤G with the index [G:H]≤J. This extends the result of Prokhorov and Shramov for Moishezon threefolds.
Jordan property for automorphism groups of compact spaces in Fujiki's class C
Fabio Perroni;
2022-01-01
Abstract
Let X be a compact complex space in Fujiki's Class 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≤Aut(X) has an abelian subgroup H≤G with the index [G:H]≤J. This extends the result of Prokhorov and Shramov for Moishezon threefolds.File in questo prodotto:
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Journal of Topology - 2022 - Meng - Jordan property for automorphism groups of compact spaces in Fujiki s class C mathcal .pdf
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