Divisor sheaf on a complex manifold
= Divisor sheaf on a complex manifold
{title2=$\mathcal K_X^*/\mathcal O_X^*$}
The quotient sheaf $\mathcal K_X^*/\mathcal O_X^*$ records the zero and pole orders of local nonzero <meromorphic functions>. Each of its <global sections> is naturally a <divisor on a complex manifold> on $X$.