The maximal number of singular points on log del Pezzo surfaces

Abstract

We prove that a del Pezzo surface with Picard number one has at most four singular points.

References in corpus (1)

• Smoothable del Pezzo surfaces with quotient singularities

Cited by in corpus (5)

• Del Pezzo Surfaces in Weighted Projective Spaces
• Classification of del Pezzo surfaces with $\frac{1}{3}(1,1)$- and $\frac{1}{4}(1,1)$-singularities
• Classification of toric log del Pezzo surfaces with few singular points
• Bogomolov-Sommese vanishing and liftability for surface pairs in positive characteristic
• Number of singular points on projective surfaces