Holomorphic line bundle associated to a divisor
= Holomorphic line bundle associated to a divisor
{title2=$[D]$}
If $f_\alpha$ are local meromorphic equations for a <divisor on a complex manifold> $D$, glue holomorphic frames $e_\alpha$ by
$$
e_\alpha=(f_\beta/f_\alpha)e_\beta.
$$
The resulting holomorphic line bundle is denoted $[D]$. The expressions $f_\alpha e_\alpha$ glue to its canonical meromorphic section, whose divisor is $D$.