Toric divisor class sequence
= Toric divisor class sequence
For a toric variety whose rays span $N_{\mathbb R}$, the divisor class group is computed by
$$
0\longrightarrow M\longrightarrow\mathbb Z^{\Sigma(1)}
\longrightarrow\operatorname{Cl}(X_\Sigma)\longrightarrow0,
$$
where $m\mapsto(\langle m,v_\rho\rangle)_\rho$.