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arXiv · 2102.13437

Examples of non-K\"ahler Calabi-Yau manifolds with arbitrarily large $b_2$

Taro Sano
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Abstract

We construct non-K\"ahler Calabi-Yau manifolds of dimension $\ge$ 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.

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Taro Sano. 2021-02-26. Examples of non-K\"ahler Calabi-Yau manifolds with arbitrarily large $b_2$. https://arxiv.org/abs/2102.13437

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