We find through a systematic analysis that all but 29,223 of the 473.8 million 4D reflexive polytopes found by Kreuzer and Skarke have a 2D reflexive subpolytope. Such a subpolytope is generally associated with the presence of an elliptic or genus one fibration in the corresponding birational equivalence class of Calabi-Yau threefolds. This extends the growing body of evidence that most Calabi-Yau threefolds have an elliptically fibered phase.

中文翻译：

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复曲面超曲面 Calabi-Yau 三重结构中的纤维结构

我们通过系统分析发现，在 Kreuzer 和 Skarke 发现的 4.738 亿个 4D 反射多胞体中，除了 29,223 个之外，所有的都具有 2D 反射亚多胞体。这种亚多胞体通常与相应的 Calabi-Yau 三重双有理等价类中的椭圆形或第一类纤维化的存在有关。这扩展了越来越多的证据，即大多数卡拉比-丘三重具有椭圆形纤维相。