Cylinders in del Pezzo surfaces with du Val singularities

2018/10/14 by Belousov, Grigory
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1810.06127

Abstract

We consider del Pezzo surfaces with du Val singularities. We'll prove that a del Pezzo surface X with du Val singularities has a -K_X-polar cylinder if and only if there exist tiger such that the support of this tiger does not contain anti-canonical divisor. Also we classify all del Pezzo surfaces X such that X has not any cylinders.

Related

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