On algebraic volume density property

DOI10.1007/s00031-015-9360-7zbMath1397.32006arXiv1201.4769OpenAlexW2110010044MaRDI QIDQ292175

Frank Kutzschebauch, Shulim Kaliman

Publication date: 10 June 2016

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.4769

zbMATH Keywords

affine algebraic varietyalgebraic volume density propertyalgebraic volume form

Mathematics Subject Classification ID

Complex Lie groups, group actions on complex spaces (32M05) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10) Group actions on affine varieties (14R20)

Related Items

On the Density and the Volume Density Property ⋮ The first thirty years of Andersén-Lempert theory ⋮ Cancellation for Surfaces Revisited ⋮ Holomorphic factorization of mappings into \(\mathrm{Sp}_4 (\mathbb{C})\) ⋮ Chaotic holomorphic automorphisms of Stein manifolds with the volume density property ⋮ Complete algebraic vector fields on affine surfaces ⋮ Bracket width of simple Lie algebras ⋮ The fibred density property and the automorphism group of the spectral ball ⋮ Proper holomorphic embeddings into Stein manifolds with the density property ⋮ Algebraic (volume) density property for affine homogeneous spaces ⋮ Classification of smooth factorial affine surfaces of Kodaira dimension zero with trivial units ⋮ Proper holomorphic immersions into Stein manifolds with the density property ⋮ Free dense subgroups of holomorphic automorphisms ⋮ Non-algebraic examples of manifolds with the volume density property

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Algebraic density property of homogeneous spaces
• Approximation of biholomorphic mappings by automorphisms of \(\mathbb{C}^ n\)
• Holomorphic factorization of mappings into \(\mathrm{SL}_n(\mathbb{C})\)
• Geometric invariant theory on Stein spaces
• Algebraic volume density property of affine algebraic manifolds
• On the group of holomorphic automorphisms of \(\mathbb{C}{}^ n\)
• Über die Invarianten von linearen Gruppen
• Algebraic density property of Danilov-Gizatullin surfaces
• Flexible varieties and automorphism groups
• Holomorphic diffeomorphisms of complex semisimple Lie groups
• Density property for hypersurfaces \(UV = p({\overline X})\)
• Criteria for the density property of complex manifolds
• Lie Algebra generated by locally nilpotent derivations on Danielewski surfaces
• On the present state of the Andersen-Lempert theory
• On Covariant Fiberings of Klein Spaces
• Fully Reducible Subgroups of Algebraic Groups
• Espaces Homogènes De Stein Des Groupes De Lie Complexes
• Volume-preserving automorphisms of C⊃n⊃
• THE DENSITY PROPERTY FOR COMPLEX MANIFOLDS AND GEOMETRIC STRUCTURES II
• Holomorphic diffeomorphisms of semisimple homogeneous spaces
• On exotic affine 3-spheres
• On the De Rham cohomology of algebraic varieties
• The density property for complex manifolds and geometric structures