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This article is cited in 2 scientific papers (total in 2 papers)
On singular log Calabi-Yau compactifications of Landau-Ginzburg models
V. V. Przyjalkowski Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
Abstract:
We consider the procedure that constructs log Calabi-Yau compactifications of weak Landau-Ginzburg models of Fano varieties. We apply it to del Pezzo surfaces and coverings of projective spaces of index $1$. For coverings of degree greater than $2$ the log Calabi-Yau compactification is singular; moreover, no smooth projective log Calabi-Yau compactification exists. We also prove, in the cases under consideration, the conjecture that the number of components of the fibre over infinity is equal to the dimension of an anticanonical system of the Fano variety.
Bibliography: 46 titles.
Keywords:
Landau-Ginzburg models, Calabi-Yau compactifications, Fano varieties, coverings.
Received: 04.09.2020 and 27.05.2021
Citation:
V. V. Przyjalkowski, “On singular log Calabi-Yau compactifications of Landau-Ginzburg models”, Sb. Math., 213:1 (2022), 88–108
Linking options:
https://www.mathnet.ru/eng/sm9510https://doi.org/10.1070/SM9510 https://www.mathnet.ru/eng/sm/v213/i1/p95
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Abstract page: | 345 | Russian version PDF: | 51 | English version PDF: | 15 | Russian version HTML: | 140 | References: | 57 | First page: | 5 |
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