K-unstable singular del Pezzo surfaces without anticanonical polar cylinder

2023/11/22 by In-Kyun Kim, Kim, In-Kyun, Jaehyun Kim +3 · 2 citations
Mathematics · #Algebraic Geometry (math.AG) #Cylinder #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry #Geometry and complex manifolds #Holomorphic and Operator Theory #Mathematics #Physics #Polar #Pure mathematics

paper · pdf · doi:10.48550/arxiv.2311.13192

openalex publication_date 2023/11/22 · openalex created_date 2023/11/24 · openalex updated_date 2026/08/01

Abstract

We prove the existence of singular del Pezzo surfaces that are neither K-semistable nor contain any anticanonical polar cylinder.

Cited by

• Automorphism groups and cylindricity of weighted hypersurface Fano threefolds
• Rigid affine cones over singular del Pezzo surfaces

Related

• Cylinders in del Pezzo surfaces with du Val singularities
• Rigid affine cones over singular del Pezzo surfaces
• Cylinders in del Pezzo surfaces with du Val singularities
• K-stability of del Pezzo surfaces with a single quotient singularity
• Polarized cylinders in Du Val del Pezzo surfaces of degree two