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Sbornik: Mathematics, 2017, Volume 208, Issue 7, Pages 992–1013
DOI: https://doi.org/10.1070/SM8838 (Mi sm8838) 		 
This article is cited in 14 scientific papers (total in 14 papers)

Calabi-Yau compactifications of toric Landau-Ginzburg models for smooth Fano threefolds

V. V. Przyjalkowski

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
English version PDF (599 kB) Citations (14)
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DOI: https://doi.org/10.1070/SM8838
Abstract: We prove that smooth Fano threefolds have toric Landau-Ginzburg models. More precisely, we prove that their Landau-Ginzburg models, represented as Laurent polynomials, admit compactifications to families of K3 surfaces, and we describe their fibres over infinity. We also give an explicit construction of Landau-Ginzburg models for del Pezzo surfaces and any divisors on them.
Bibliography: 40 titles.
Keywords: Fano threefolds, toric Landau-Ginzburg models, Calabi-Yau compactifications.
Funding agency Grant number
Russian Science Foundation 14-50-00005
The research was funded by a grant of the Russian Science Foundation (project no. 14-50-00005).
Received: 14.10.2016 and 09.03.2017
Russian version:
Matematicheskii Sbornik, 2017, Volume 208, Number 7, Pages 84–108
DOI: https://doi.org/10.4213/sm8838
Bibliographic databases:
Document Type: Article
UDC: 512.776
MSC: Primary 14D07, 14J30, 14J45; Secondary 14M25, 14N35
Language: English
Original paper language: Russian
Citation: V. V. Przyjalkowski, “Calabi-Yau compactifications of toric Landau-Ginzburg models for smooth Fano threefolds”, Mat. Sb., 208:7 (2017), 84–108; Sb. Math., 208:7 (2017), 992–1013
Citation in format AMSBIB
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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