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arXiv 2005-06-09 1 views

An elementary, explicit, proof of the existence of Hilbert schemes of points

Gustavsen, Trond · Laksov, Dan · Skjelnes, Roy

Original · EN

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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