Examples of non-Kähler Calabi-Yau 3-folds with arbitrarily large b₂

2019/02/04 by Kenji Hashimoto, Hashimoto, Kenji, Taro Sano +1
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1902.01027

openalex publication_date 2019/02/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Citations

• Smooth quartic K3 surfaces and Cremona transformations, II
• Fano versus Calabi - Yau
• Adiabatic Limit and Deformations of Complex Structures

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