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On Landau-Ginzburg models for Fano varieties. (English) Zbl 1194.14065
Mirror symmetry was originally formulated for Calabi-Yau manifolds and was later generalized to Fano varieties. A mirror to a Fano variety \(X\) is a Landau-Ginzburg model, a non-compact complex manifold \(M\) with a complex-valued function \(f\) on it, called the superpotential. The paper under review discusses a general strategy for finding mirrors to Fano threefolds, providing explicit answers for threefolds with Picard group \(\mathbb{Z}\) of genera \(9\), \(10\) and \(12\).

MSC:
14J45 Fano varieties
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