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arXiv · 1502.03911

Calabi-Yau hypersurfaces in the direct product of $\mathbb{P}^{1}$ and inertia groups

Taro Hayashi·Masakatsu Hayashi
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Abstract

We produce the family of Calabi-Yau hypersurfaces $X_{n}$ of $(\mathbb{P}^{1})^{n+1}$ in higher dimension whose inertia group contains non commutative free groups. This is completely different from Takahashi's result \cite{ta98} for Calabi-Yau hypersurfaces $M_{n}$ of $\mathbb{P}^{n+1}$.

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Taro Hayashi, Masakatsu Hayashi. 2015-02-28. Calabi-Yau hypersurfaces in the direct product of $\mathbb{P}^{1}$ and inertia groups. https://arxiv.org/abs/1502.03911

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