Duality of Weights, Mirror Symmetry and Arnold’s Strange Duality
نویسندگان
چکیده
Introduction. The hypersurfaces in weighted projective spaces often appear as important examples in the context of mirror symmetry. In this paper, we describe the relation between polar duality and duality of weight systems. The duality of weights partly suggests why [CLS] produced a mirror symmetric phenomena using only a resolution of weighted hypersurface in weighted P. In fact, recently it is shown that those examples in weighted 4-spaces correspond to some reflexive polytopes [CdOK]. As an application, we will show that Arnold’s strange duality for fourteen unimodal singularities reduces to polar duality.
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