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This article is cited in 7 scientific papers (total in 7 papers)
Toric Landau–Ginzburg models
V. V. Przyjalkowskiab a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
b National Research University "Higher School of Economics", Moscow
Abstract:
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.
Received: 10.09.2018
Citation:
V. V. Przyjalkowski, “Toric Landau–Ginzburg models”, Russian Math. Surveys, 73:6 (2018), 1033–1118
Linking options:
https://www.mathnet.ru/eng/rm9852https://doi.org/10.1070/RM9852 https://www.mathnet.ru/eng/rm/v73/i6/p95
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Abstract page: | 700 | Russian version PDF: | 150 | English version PDF: | 40 | References: | 61 | First page: | 63 |
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