Bimeromorphic automorphism groups of certain \(\mathbb{P}^1\)-bundles

DOI10.1007/s40879-020-00419-8zbMath1473.14021OpenAlexW3091830837MaRDI QIDQ2040976

Tatiana Bandman, Yuri G. Zarhin

Publication date: 15 July 2021

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40879-020-00419-8

zbMATH Keywords

complex toriconic bundlesalgebraic dimension \(0\)automorphism groups of compact complex manifoldsJordan properties of groups

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Kähler manifolds (32Q15) Complex Lie groups, group actions on complex spaces (32M05) Rational and birational maps (14E05) Compact Kähler manifolds: generalizations, classification (32J27) Holomorphic bundles and generalizations (32L05) Automorphisms of surfaces and higher-dimensional varieties (14J50)

Related Items (3)

Jordan property for automorphism groups of compact spaces in Fujiki's class C$\mathcal {C}$ ⋮ Simple complex tori of algebraic dimension 0 ⋮ Equivariant minimal model program

Cites Work

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• Holomorphe und meromorphe Abbildungen komplexer Räume
• On the minimal models of complex manifolds
• Lie groups and Lie algebras I. Foundations of Lie theory. Lie transformation groups. Transl. from the Russian by A. Kozlowski
• Complex analytic geometry
• On automorphism groups of compact Kähler manifolds
• Several complex variables VII. Sheaf-theoretical methods in complex analysis
• The Jordan property for Lie groups and automorphism groups of complex spaces
• Finite groups of birational selfmaps of threefolds
• Complex tori, theta groups and their Jordan properties
• Jordan properties of automorphism groups of certain open algebraic varieties
• Introduction to the theory of analytic spaces
• On the purity of the degeneration loci of families of curves
• Groups on analytic manifolds
• Singularities of linear systems and boundedness of Fano varieties
• On the Makar-Limanov, Derksen invariants, and finite automorphism groups of algebraic varieties
• Jordan property for non-linear algebraic groups and projective varieties
• Jordan property and automorphism groups of normal compact Kähler varieties
• Finite groups of bimeromorphic selfmaps of uniruled Kähler threefolds
• Bounded automorphism groups of compact complex surfaces
• Jordan property for groups of birational selfmaps
• Fiberwise bimeromorphic maps of conic bundles
• Jordan groups, conic bundles and abelian varieties
• Theta Groups and Products of Abelian and Rational Varieties
• Complex tori

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