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Mirror Symmetry and the Classification of Orbifold del Pezzo Surfaces (1501.05334v2)
Published 21 Jan 2015 in math.AG and math.CO
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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