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Strange duality of weighted homogeneous polynomials

Strange duality of weighted homogeneous polynomials

Abstract We consider a mirror symmetry between invertible weighted homogeneous polynomials in three variables. We define Dolgachev and Gabrielov numbers for them and show that we get a duality between these polynomials generalizing Arnoldā€™s strange duality between the 14 exceptional unimodal singularities.