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

Hashimoto, Kenji¹ ; Sano, Taro²

¹ Graduate School of Mathematical Sciences, The University of Tokyo, Tokyo, Japan
² Department of Mathematics, Graduate School of Science, Kobe University, Kobe, Japan

Geometry & topology, Tome 27 (2023) no. 1, pp. 131-152.

Résumé

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

Détail

DOI : 10.2140/gt.2023.27.131

Keywords: Calabi–Yau manifolds, deformation theory, log geometry

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