I read in Hartshorne III.7.1 that every locally free sheaf of $P_k^n$ (where $k$ - field) is direct sum of $\mathcal{O}_{P_k^n}(q)$ but I don't understand why. Hope for your help!
2026-03-31 20:40:06.1774989606
Every locally free sheaf on $P_k^n$ is sum of twisted structural sheafs
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