Structure sheaf of a scheme
= Structure sheaf of a scheme
{title2=$\mathcal O_X$}
= Structure sheaves
{synonym}
= Structure sheaf
{synonym}
The structure sheaf $\mathcal O_X$ records the <regular function>[regular functions] on every open subset of a <scheme> $X$. Its stalk $\mathcal O_{X,x}$ is the <local ring> of functions defined near $x$.