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arXiv · 1501.05334

Mirror Symmetry and the Classification of Orbifold del Pezzo Surfaces

Mohammad Akhtar·Tom Coates·Alessio Corti·Liana Heuberger·Alexander Kasprzyk·Alessandro Oneto·Andrea Petracci·Thomas Prince·Ketil Tveiten
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Abstract

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.

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Mohammad Akhtar, Tom Coates, Alessio Corti, Liana Heuberger, Alexander Kasprzyk, Alessandro Oneto, Andrea Petracci, Thomas Prince, Ketil Tveiten. 2015-01-23. Mirror Symmetry and the Classification of Orbifold del Pezzo Surfaces. https://doi.org/10.1090/proc%2F12876

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