Line bundle associated to a divisor (source code)

= Line bundle associated to a divisor
{title2=$\mathcal O(D)$}

For a <Cartier divisor> $D$, the associated line bundle $\mathcal O(D)$ has local sections given by <meromorphic functions> $f$ satisfying $(f)+D\geq0$. Its canonical meromorphic section has divisor $D$.