Mirror symmetry and the classification of orbifold del Pezzo surfaces

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 de...

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Bibliographic Details
Main Authors: Akhtar, Mohammad, Coates, Tom, Corti, Alessio, Heuberger, Liana, Kasprzyk, Alexander M., Oneto, Alessandro, Petracci, Andrea, Prince, Thomas, Tveiten, Ketil
Format: Article
Published: American Mathematical Society 2016
Online Access:https://eprints.nottingham.ac.uk/31071/