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

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

2005-06-09

arxiv.org/abs/math/0506161v1

Mathematics

Algebraic Geometry

Scientific paper

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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