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Examples of non-Kähler
Calabi–Yau $3$–folds with arbitrarily large $b_2$
Kenji Hashimoto and Taro Sano |
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Geometry & Topology 27 (2023) 131–152
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Abstract |
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We construct non-Kähler simply connected Calabi–Yau –folds with arbitrarily large Betti numbers by smoothing normal crossing varieties with trivial dualizing sheaves. |
Keywords
Calabi–Yau manifolds, deformation theory, log geometry
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Mathematical Subject Classification
Primary: 14D15, 14J32
Secondary: 32Q25
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References |
Publication
Received: 10 November 2020
Revised: 31 May 2021
Accepted: 5 September 2021
Published: 1 May 2023
Proposed: Lothar Göttsche
Seconded: Mark Gross, Paul Seidel
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Authors |
| Kenji Hashimoto | |
| Graduate School of Mathematical
Sciences The University of Tokyo Tokyo Japan |
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| Taro Sano | |
| Department of Mathematics Graduate School of Science Kobe University Kobe Japan |
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| © 2023 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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