Proj construction
= Proj construction
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{title2=$\operatorname{Proj}S$}
{wiki}
For a graded ring $S$, $\operatorname{Proj}S$ consists of homogeneous prime ideals not containing the irrelevant ideal $S_+$. Its standard affine opens satisfy $D_+(f)\cong\operatorname{Spec}(S_f)_0$.