Product fan
= Product fan
The product of fans $\Sigma_1\subseteq N_{1,\mathbb R}$ and $\Sigma_2\subseteq N_{2,\mathbb R}$ consists of the cones $\sigma_1\times\sigma_2$. Its <toric variety> is $X_{\Sigma_1}\times X_{\Sigma_2}$.
= Product fan
The product of fans $\Sigma_1\subseteq N_{1,\mathbb R}$ and $\Sigma_2\subseteq N_{2,\mathbb R}$ consists of the cones $\sigma_1\times\sigma_2$. Its <toric variety> is $X_{\Sigma_1}\times X_{\Sigma_2}$.