%0 Journal Article %T Mirror Symmetry and the Classification of Orbifold del Pezzo Surfaces %A Mohammad Akhtar %A Tom Coates %A Alessio Corti %A Liana Heuberger %A Alexander Kasprzyk %A Alessandro Oneto %A Andrea Petracci %A Thomas Prince %A Ketil Tveiten %J Mathematics %D 2015 %I arXiv %X We state a number of conjectures that together allow one to classify a broad class of del Pezzo surfaces with cyclic quotient singularities using mirror symmetry. We prove our conjectures in the simplest cases. The conjectures relate mutation-equivalence classes of Fano polygons with Q-Gorenstein deformation classes of del Pezzo surfaces. %U http://arxiv.org/abs/1501.05334v2