Solitons: Differential equations, symmetries, and infinite-dimensional algebras
《Solitons: Differential equations, symmetries, and infinite-dimensional algebras》 · 第 79 页 · Definition 3.28
Let $X$ be an integral scheme, and let $\eta\in X$ be its generic point. Then the local ring $\mathcal O_{X,\eta}$ is a field, which is called the function field of $X$ and denoted by $K(X)$.