Sheaf of meromorphic functions on a complex manifold
= Sheaf of meromorphic functions on a complex manifold
{title2=$\mathcal K_X$}
The sheaf $\mathcal K_X$ assigns to an open subset of a <complex manifold> its <meromorphic functions>. Its subsheaf $\mathcal K_X^*$ consists of the nonzero meromorphic functions, while $\mathcal O_X^*$ consists of the nowhere-zero <holomorphic functions>.