Jordan property and automorphism groups of normal compact Kähler varieties

DOI10.1142/S0219199717500249zbMath1400.14108OpenAlexW2588445102MaRDI QIDQ4608182

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Publication date: 16 March 2018

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199717500249

zbMATH Keywords

automorphism groupcompact Kähler varietiesJordan property for groupsmeromorphic actionsmeromorphic groupsRosenlicht decomposition

Mathematics Subject Classification ID

Complex Lie groups, group actions on complex spaces (32M05) Automorphisms of surfaces and higher-dimensional varieties (14J50)

Related Items (7)

Strongly Jordan property and free actions of non-abelian free groups ⋮ Automorphisms of Hopf manifolds ⋮ Jordan property for automorphism groups of compact spaces in Fujiki's class C$\mathcal {C}$ ⋮ Finite groups of bimeromorphic selfmaps of uniruled Kähler threefolds ⋮ Bounded automorphism groups of compact complex surfaces ⋮ Automorphism groups of Moishezon threefolds ⋮ Bimeromorphic automorphism groups of certain \(\mathbb{P}^1\)-bundles

Cites Work

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• Some Basic Theorems on Algebraic Groups
• Bounds for the orders of the finite subgroups of G(k)
• A Minkowski-style bound for the order of the finite subgroups of the Cremona group of rank 2 over an arbitrary field
• Meromorphic groups
• Some structure theorems for algebraic groups
• Jordan property for groups of birational selfmaps
• Theta Groups and Products of Abelian and Rational Varieties

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