Notes on minimal compactifications of the affine plane

DOI10.1007/s10231-008-0069-2zbMath1203.14041OpenAlexW2026260214MaRDI QIDQ731386

Takeshi Takahashi, Hideo Kojima

Publication date: 2 October 2009

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-008-0069-2

zbMATH Keywords

compactificationlog canonical singularityaffine 2-space

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Singularities of surfaces or higher-dimensional varieties (14J17)

Related Items (6)

Normal Analytic Compactifications of $$\mathbb{C}^{2}$$ ⋮ Compactifications of the affine plane over nonclosed fields ⋮ Smooth rational curves on singular rational surfaces ⋮ Normal del Pezzo surfaces of rank one with log canonical singularities ⋮ Log del Pezzo surfaces of rank one containing the affine plane ⋮ Normal log canonical del Pezzo surfaces of rank one with unique singular points

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The structure of normal surfaces
• Weil divisors on normal surfaces
• Gorenstein log del Pezzo surfaces of rank one
• Logarithmic del Pezzo surfaces with rational double and triple singular points
• The topology of normal singularities of an algebraic surface and a criterion for simplicity
• Non-complete algebraic surfaces
• On singular complex surfaces with negative canonical bundle, with applications to singular compactifications of \(\mathbb C^2\) and to 3-dimensional rational singularities
• De Pezzo surfaces with nonrational singularities
• Logarithmic del Pezzo surfaces of rank one with contractible boundaries
• On non-rational numerical Del Pezzo surfaces
• A topological characterisation of the affine plane as an algebraic variety
• NORMAL HYPERSURFACES AS A COMPACTIFICATION OF C²
• Some Numerical Criteria for Contractability of Curves on Algebraic Surfaces
• On Minimal Compactifications of ℂ²
• Open Algebraic Surfaces
• On Isolated Rational Singularities of Surfaces
• Normal del Pezzo surfaces containing a nonrational singularity
• On normal surfaces with strictly nef anticanonical divisors

This page was built for publication: Notes on minimal compactifications of the affine plane