ScalingStacks

Example 3.1. A typical example of large complex structure limit is the Fermat family of Calabi-Yau hypersurfaces

$$X_{t}=\{Z_{0}Z_{1}\ldots Z_{n+1}+t\sum_{0}^{n+1}Z_{i}^{n+2}=0\}\subset\mathbb{CP}^{n+1}.$$

As $t\to 0$, the algebraic limit is the union of $n+2$ projective planes. Intuitively, the central fibre is highly reducible, and the degeneration is very severe.