Let $X$ be a toric variety and $L$ a line bundle on $X$. A toric structure on $L$ is the choice of a non-zero vector $z$ on the fibre $L_{x_{0}}=x_{0}^{\ast}L$ over the distinguished point. A toric line bundle is a pair $(L,z)$, where $L$ is a line bundle on $X$ and $z$ is a toric structure on $L$. A rational section $s$ of a toric line bundle is a toric section if it is regular and nowhere vanishing on the principal open subset $X_{0}$, and $s(x_{0})=z$. In order not to burden the notation, a toric line bundle will generally be denoted by $L$, the vector $z$ being implicit.