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Mirror pairs of Calabi-Yau threefolds from mirror pairs of quasi-Fano threefolds
- Authors
- Lee, Nam-Hoon
- Issue Date
- Sep-2020
- Publisher
- ELSEVIER
- Keywords
- Calabi-Yau threefold; Smoothing; Mirror symmetry; Landau-Ginzburg model; Quasi-Fano manifold
- Citation
- JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, v.141, pp.195 - 219
- Journal Title
- JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES
- Volume
- 141
- Start Page
- 195
- End Page
- 219
- ISSN
- 0021-7824
- Abstract
- We present a new construction of mirror pairs of Calabi-Yau manifolds by smoothing normal crossing varieties, consisting of two quasi-Fano manifolds. We introduce a notion of mirror pairs of quasi-Fano manifolds with anticanonical Calabi-Yau MSC: fibrations using recent conjectures about Landau-Ginzburg models. Utilizing this notion, we give pairs of normal crossing varieties and show that the pairs of smoothed Calabi-Yau manifolds satisfy the Hodge number relations of mirror symmetry. We consider quasi-Fano threefolds that are some blow-ups of Gorenstein toric Fano threefolds and build 6518 mirror pairs of Calabi-Yau threefolds, including 79 self-mirrors. (C) 2019 Elsevier Masson SAS. All rights reserved.
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Related Researcher
- Lee, Nam Hoon
- Education (Mathematics Education)