Strange duality, mirror symmetry, and the Leech lattice

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We give a survey on old and new results concerning Arnold's strange duality. We show that most of the features of this duality continue to hold for the extension of it discovered by C. T. C. Wall and the author. The results include relations to mirror symmetry and the Leech lattice.
LaTeX2e, 21 p. with 4 fig.; some corrections and additions

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