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Examples of non-Kähler Calabi–Yau $3$–folds with arbitrarily large $b_2$

Kenji Hashimoto and Taro Sano

Geometry & Topology 27 (2023) 131–152
Abstract

We construct non-Kähler simply connected Calabi–Yau 3–folds with arbitrarily large 2 nd Betti numbers by smoothing normal crossing varieties with trivial dualizing sheaves.

Keywords
Calabi–Yau manifolds, deformation theory, log geometry
Mathematical Subject Classification
Primary: 14D15, 14J32
Secondary: 32Q25
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
Authors
Kenji Hashimoto
Graduate School of Mathematical Sciences
The University of Tokyo
Tokyo
Japan
Taro Sano
Department of Mathematics
Graduate School of Science
Kobe University
Kobe
Japan

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