Cylindrical ample divisors on Du Val del Pezzo surfaces

2023/04/25 by Sawahara, Masatomo · 3 citations
#14C20 #14E05 #14J17 #14J26 #14J45 #14R25 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2304.12755

Abstract

Let S be a del Pezzo surface with at worse Du Val singularities of degree ≥ 3. We construct an H-polar cylinder for any ample ℚ-divisor H on S.

Cited by

• Cylindricity of weighted singular del Pezzo surfaces over fields of characteristic zero
• Cylinders in Du Val del Pezzo surfaces of degree one with Picard rank two
• Rigid affine cones over singular del Pezzo surfaces

Related

• Cylinders in del Pezzo surfaces with du Val singularities
• Polarized cylinders in Du Val del Pezzo surfaces of degree two
• Cylinders in del Pezzo surfaces with du Val singularities
• Cylinders in Du Val del Pezzo surfaces of degree one with Picard rank two
• K-unstable singular del Pezzo surfaces without anticanonical polar cylinder