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arxiv: 1403.4366 · v1 · pith:ZUBJWCDInew · submitted 2014-03-18 · 🧮 math.AG

A note on bimodal singularities and mirror symmetry

classification 🧮 math.AG
keywords singularitiesbimodalmirrorsymmetryassociatedbatyrevberlundconstruction
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We discuss the relation between transposition mirror symmetry of Berlund and H\"ubsch for bimodal singularities and polar duality of Batyrev for associated toric K3 hypersurfaces. We also show that homological mirror symmetry for singularities implies the geometric construction of Coxeter-Dynkin diagrams of bimodal singularities by Ebeling and Ploog.

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