Automorphisms of affine surfaces with \(\mathbb A^1\)-fibrations

DOI10.1307/mmj/1114021083zbMath1084.14062OpenAlexW1985674490MaRDI QIDQ558695

Masayoshi Miyanishi, Rajendra Vasant Gurjar

Publication date: 13 July 2005

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1114021083

zbMATH Keywords

locally nilpotent derivationMakar-Limanov invariant\(G_a\) action

Mathematics Subject Classification ID

Group actions on affine varieties (14R20) Affine fibrations (14R25)

Related Items (13)

Lifting of the additive group scheme actions ⋮ Affine pseudo-planes and cancellation problem ⋮ Cancellation for Surfaces Revisited ⋮ Affine normal surfaces with simply-connected smooth locus ⋮ Singular points of affine ML-surfaces ⋮ \(\mathbb A^1\)-fibrations on affine threefolds ⋮ Affine surfaces with trivial Makar-Limanov invariant ⋮ Cylinders in Fano varieties ⋮ On \(\mathbb C\)-fibrations over projective curves ⋮ Smoothness of the images of members of a linear system under an endomorphism of the affine plane ⋮ Some recent results in the area of non-complete algebraic varieties ⋮ Bifurcation locus and branches at infinity of a polynomial \(f:\mathbb {C}^2\to \mathbb {C}\) ⋮ Affine pseudo-coverings of algebraic surfaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fifteen characterizations of rational double points and simple critical points
• The fundamental group at infinity of affine surfaces
• Gorenstein log del Pezzo surfaces of rank one
• The topology of normal singularities of an algebraic surface and a criterion for simplicity
• Lectures on curves on rational and unirational surfaces
• Non-complete algebraic surfaces
• Singularities of normal affine surfaces containing cylinderlike open sets
• Homology planes with quotient singularities
• Affine surfaces with \(AK(S)=\mathbb C\).
• Equivariant completion
• The additive group actions on \(\mathbb Q\)-homology planes.
• Logarithmic del Pezzo surfaces of rank one with contractible boundaries
• Étale endomorphisms of algebraic varieties
• Completions of normal affine surfaces with a trivial Makar-Limanov invariant
• A topological characterisation of the affine plane as an algebraic variety
• Zariski's conjecture and related problems
• Pinceaux de droites et automorphismes des surfaces affines.
• π₁ OF ELLIPTIC AND HYPERELLIPTIC SURFACES
• Sur les opérations holomorphes du groupe additif complexe sur l'espace de deux variables complexes
• Open Algebraic Surfaces
• On Log ℚ-Homology Planes and Weighted Projective Planes
• Affine pseudo-planes and cancellation problem

This page was built for publication: Automorphisms of affine surfaces with \(\mathbb A^1\)-fibrations