AI 中文总结
本文首次构造了类型变化的紧致广义Calabi--Yau流形，利用Fei方法在Σ₃×T⁴上从非Kähler结构出发，得到类型从1变到3的例子。
AI 中文摘要
我们利用Fei在twistor空间的分支覆盖上构造非Kähler Calabi--Yau流形的方法（见文献[Fei16]），首次给出了类型变化的广义Calabi--Yau流形的紧致例子。该结构一般类型为1，并变化为类型3，构造在亏格为3的超椭圆曲面与四维环面的乘积Σ₃×T⁴上，起点是一个非Kähler Calabi--Yau结构。
英文摘要
We provide the first compact examples of type-changing generalized Calabi--Yau manifolds using Fei's construction of non-Kähler Calabi--Yau manifolds on branched covers of twistor spaces \cite{Fei16}. The structure, which is generically of type 1 and changes to type 3, is constructed on the product of a hyperelliptic surface of genus three and a four-torus, $Σ_3 \times \mathbb{T}^4$, with starting point a non-Kähler Calabi--Yau structure.
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