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

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 ${\mathbb{P}}^{n+1}$.

arXiv comment10 pages