7 citations · 20 across the 7 of their papers we have counts for
8 papers · 1 filter
Deformations of rational surface singularities and reflexive modules with an application to flops
Trond Stølen Gustavsen, Runar Ile
Blowing up a rational surface singularity in a reflexive module gives a (any) partial resolution dominated by the minimal resolution. The main theorem shows how deformations of the…
Equivariant Lie-Rinehart cohomology
Eivind Eriksen, Trond S. Gustavsen
In this paper, we study Lie-Rinehart cohomology for quotients of singularities by finite groups, and interpret these cohomology groups in terms of integrable connection on modules.
Lie-Rinehart cohomology and integrable connections on modules of rank one
Eivind Eriksen, Trond Stølen Gustavsen
Let be an algebraically closed field of characteristic 0, let be a commutative -algebra, and let be a torsion free -module of rank one with a connection .…
Connections on modules over singularities of finite CM representation type
Eivind Eriksen, Trond S. Gustavsen
Let A be a commutative k-algebra, where k is an algebraically closed field of characteristic 0, and let M be an A-module. We consider the following question: Under what conditions…
Computing obstructions for existence of connections on modules
Eivind Eriksen, Trond S. Gustavsen
We consider the notion of a connection on a module over a commutative ring, and recall the obstruction calculus for such connections. The obstruction calculus is defined using Hoch…
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…