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Mirror Symmetry and the Classification of Orbifold del Pezzo Surfaces

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 نشر من قبل Tom Coates
 تاريخ النشر 2015
  مجال البحث
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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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