An elementary, explicit, proof of the existence of Hilbert schemes of points
Algebraic Geometry
2007-05-23 v1 Commutative Algebra
Abstract
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.
Cite
@article{arxiv.math/0506161,
title = {An elementary, explicit, proof of the existence of Hilbert schemes of points},
author = {Trond Gustavsen and Dan Laksov and Roy Skjelnes},
journal= {arXiv preprint arXiv:math/0506161},
year = {2007}
}