We construct non-Kähler Calabi–Yau manifolds of dimension $⩾4$ with arbitrarily large 2nd Betti numbers by smoothing normal crossing varieties. The examples have K3 fibrations over smooth projective varieties and their algebraic dimensions are of codimension 2.

中文翻译：

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具有任意大 b2 的非 Kähler Calabi-Yau 流形的示例

我们构造维度的非 Kähler Calabi-Yau 流形$⩾4$通过平滑正常的杂交品种具有任意大的 2nd Betti 数。这些例子在光滑射影簇上具有 K3 纤维化，并且它们的代数维数为 2。