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A generalized construction of mirror manifolds. (English) Zbl 1245.14039
Summary: We generalize the known method for explicit construction of mirror pairs of (2,2)-superconformal field theories, using the formalism of Landau-Ginzburg orbifolds. Geometrically, these theories ae realized as Calabi-Yau hypersurfaces in weighted projective spaces. This generalization makes it possible to construct the mirror partners of many manifolds for which the mirror was not previously known.

MSC:
14J33 Mirror symmetry (algebro-geometric aspects)
32G81 Applications of deformations of analytic structures to the sciences
32J17 Compact complex \(3\)-folds
81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
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