We give an optimal upper bound for the anti-canonical volume of an ϵ-lc weak log del Pezzo surface. Moreover, we consider the relation between the bound of the volume and the Picard number of the minimal resolution of the surface. Furthermore, we consider blowing up several points on a Hirzebruch surface in general position and give some examples of smooth weak log del Pezzo surfaces.
No takes yet. Share an insight, caveat, or question.
A 2013 study studied this question.
Synapse has enriched 5 related papers. Consider them for comparative context: