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Mar 14, 2019 at 10:54 comment added BinAcker Henri, do you have please a reference for that? I am quite a novice in the subject.
Mar 13, 2019 at 17:38 comment added Henri I'm not sure what you mean by that either, but given a coherent sheaf $\mathcal E$ on a complex manifold $X$, there exists a non-empty Zariski open subset $U\subset X$ such that $\mathcal E|_U$ is locally free, hence is the sheaf of sections of a holomorphic vector bundle $E$ on $U$.
Mar 13, 2019 at 15:53 comment added Keerthi Madapusi Not sure what the precise question is, but consider the ideal sheaf of the origin within any higher-dimensional affine space.
Mar 13, 2019 at 15:48 history asked BinAcker CC BY-SA 4.0