Definition 31.23.1. Let $(X, \mathcal{O}_ X)$ be a locally ringed space. The *sheaf of meromorphic functions on $X$* is the sheaf *$\mathcal{K}_ X$* associated to the presheaf displayed above. A *meromorphic function* on $X$ is a global section of $\mathcal{K}_ X$.

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