Cylinders in Du Val del Pezzo surfaces of degree one with Picard rank two

2025/12/01 by Jaehyun Kim, Kim, Jaehyun, Dae-Won Lee +3
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Geometric Analysis and Curvature Flows

paper · pdf · doi:10.48550/arxiv.2512.01285

openalex publication_date 2025/12/01 · openalex created_date 2025/12/03 · openalex updated_date 2026/07/28

Abstract

We prove that for Du Val del Pezzo surfaces of degree one with Picard rank two, the existence of an anticanonical polar cylinder implies the ample polar cylindricity.

Citations

• Polarized cylinders in Du Val del Pezzo surfaces of degree two
• Cylindrical ample divisors on Du Val del Pezzo surfaces
• Unipotent Group Actions on Del Pezzo Cones

Related

• Cylinders in del Pezzo surfaces with du Val singularities
• Cylinders in del Pezzo surfaces with du Val singularities
• Cylindrical ample divisors on Du Val del Pezzo surfaces
• Polarized cylinders in Du Val del Pezzo surfaces of degree two
• Rigid affine cones over singular del Pezzo surfaces