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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.AG2003
On the cotangent cohomology of rational surface singularities with almost reduced fundamental cycle
Trond Stolen Gustavsen
We prove dimension formulas for the cotangent spaces and for a class of rational surface singularities by calculating a correction term in the general dimension for…
math.AG1999
On infinitesimal deformations and obstructions for rational surface singularities
Jan Arthur Christophersen, Trond Stoelen Gustavsen
The purpose of this paper is to prove dimension formulas for and for rational surface singularities. These modules play an important role in the deformation theory of i…