Geodesic
Toric Landau--Ginzburg models
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 73 (2018) no. 6, pp. 1033-1118

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This review of the theory of toric Landau–Ginzburg models describes an effective approach to mirror symmetry for Fano varieties. It focuses mainly on the cases of dimensions 2 and 3, as well as on the case of complete intersections in weighted projective spaces and Grassmannians. Conjectures that relate invariants of Fano varieties and their Landau–Ginzburg models, such as the Katzarkov–Kontsevich–Pantev conjectures, are also studied. Bibliography: 89 titles.
Keywords: toric Landau–Ginzburg models, mirror symmetry, toric geometry, Fano varieties. 
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     title = {Toric {Landau--Ginzburg} models},
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V. V. Przyjalkowski. Toric Landau--Ginzburg models. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 73 (2018) no. 6, pp. 1033-1118. http://geodesic.mathdoc.fr/item/RM_2018_73_6_a1/