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arxiv: 1502.03911 · v2 · pith:ODZPT7UBnew · submitted 2015-02-13 · 🧮 math.AG

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

classification 🧮 math.AG
keywords calabi-yauhypersurfacesmathbbgroupsinertiacitecommutativecompletely
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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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