R. Skjelnes

activity

19992005

most citedAn elementary, explicit, proof of the existence of Hilbert schemes of points

2 citations · 2 across the 2 of their papers we have counts for

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4 papers · 1 filter

math.AG2005★ 2 cited

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…

math.AG2002

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 ${U_{i}}$ is the collection of open subschemes of a variety $X$ contain…

math.AG1999

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…

math.AG1999

On the representability of ${\Cal Hilb}^nk[x]_{(x)}$

Roy M. Skjelnes

Let $k [x]_{(x)}$ be the polynomial ring $k [x]$ localized in the maximal ideal $(x) \subseteq k [x]$ . We study the Hilbert functor parameterizing ideals of colength $n$ in this ring {…