The Stacks project

  • There is a canonical ring map $ S_0 \longrightarrow \Gamma (\text{Proj}(S), \widetilde S) $ and a canonical $S_0$-module map $ M_0 \longrightarrow \Gamma (\text{Proj}(S), \widetilde M) $ compatible with the descriptions of sections over standard opens and stalks above.

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