An elementary, explicit, proof of the existence of Hilbert schemes of points
classification
🧮 math.AG
math.AC
keywords
existencehilbertpointsschemeschemeselementaryexplicitproof
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We give a short, elementary and explicit proof of the existence of Hilbert schemes of points on affine schemes. As a direct consequence we obtain the existence of the Hilbert scheme of points on any projective scheme, not necessarily of finite type, over any base scheme.
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