Cylinders in singular del Pezzo surfaces

DOI10.1112/S0010437X16007284zbMath1360.14020arXiv1311.5257OpenAlexW3100202526MaRDI QIDQ3186426

Jihun Park, Joonyeong Won, I. A. Chel'tsov

Publication date: 9 August 2016

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.5257

zbMATH Keywords

del Pezzo surfaceminimal resolutioncylinderaffine coneanticanonical divisorlog canonical singularityweak del Pezzo surface\(\mathbb G_{a}\)-actiondu Val singularity

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Singularities of surfaces or higher-dimensional varieties (14J17) Rational and birational maps (14E05) Fano varieties (14J45) Divisors, linear systems, invertible sheaves (14C20) Group actions on affine varieties (14R20) Affine fibrations (14R25)

Related Items

Automorphisms of algebraic varieties and infinite transitivity, Cylinders in del Pezzo surfaces with du Val singularities, On a Conjecture of Hong and Won, \(\mathbb{G}_a\)-actions on the complements of hypersurfaces, Deformations of \(\mathbb {A}^1\)-cylindrical varieties, Cylinders in del Pezzo surfaces of degree two, Cylinders in weak del Pezzo fibrations, On cylindrical smooth rational Fano fourfolds, Cylinders in Fano varieties, Cylinders in rational surfaces, Unnamed Item, Super-rigid affine Fano varieties, Notes on cylinders in smooth projective surfaces, Flexible affine cones over del Pezzo surfaces of degree 4

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Computing \(\alpha\)-invariants of singular del Pezzo surfaces
• Affine cones over Fano threefolds and additive group actions
• Affine cones over smooth cubic surfaces
• Normal Gorenstein surfaces with ample anti-canonical divisor
• \(\mathbb G_{\text a}\)-actions on affine cones
• Del Pezzo and \(K3\) surfaces
• Del Pezzo Surfaces and Local Inequalities
• Log canonical thresholds on Gorenstein canonical del Pezzo surfaces
• Group actions on affine cones
• Arithmetic on Singular Del Pezzo Surfaces
• On the Classification of Cubic Surfaces
• Rational curves on quasi-projective surfaces
• A Note on Del Pezzo Fibrations of Degree 1
• Singular del Pezzo surfaces whose universal torsors are hypersurfaces
• Unipotent group actions on del Pezzo cones