2 citations · 2 across the 2 of their papers we have counts for
4 papers
An elementary, explicit, proof of the existence of Hilbert schemes of points
Trond Gustavsen, Dan Laksov, Roy Skjelnes
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 schem…
Infinite Intersections of open subschemes and the Hilbert scheme of points
R. M. Skjelnes, C. Walter
We study infinite intersections of open subschemes and the corresponding intersection of Hilbert schemes. If is the collection of open subschemes of a variety contain…
Symmetric tensors with applications to Hilbert schemes
Roy M. Skjelnes
Let A[X]_U be a fraction ring of the polynomial ring A[X] in the variable X over a commutative ring A. We show that the Hilbert functor {Hilb}^n_{A[X]_U} is represented by an affin…
On the representability of ${\Cal Hilb}^nk[x]_{(x)}$
Roy M. Skjelnes
Let be the polynomial ring localized in the maximal ideal . We study the Hilbert functor parameterizing ideals of colength in this ring {…