Theorem 4.22 . [02PY]

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Theorem 4.22.

Let $X$ be a toric variety with torus $\mathbb{T}$ . Then the correspondence $D\mapsto((\mathcal{O}(D),s_{D}(x_{0})),s_{D})$ determines a bijection between the sets of

(1)

$\mathbb{T}$ -Cartier divisors on $X$ ,
(2)

isomorphism classes of pairs $(L,s)$ where $L$ is a toric line bundle and $s$ is a toric section.