3 citations · 4 across the 2 of their papers we have counts for
5 papers
Deformation theory of Cohen-Macaulay approximation
Runar Ile
In a previous article (J. Algebra 367 (2012), 142-165) we established axiomatic parametrised Cohen-Macaulay approximation which in particular was applied to pairs consisting of a f…
Versal deformations of pairs and Cohen-Macaulay approximation
Runar Ile
For a pair (algebra, module) with equidimensional and isolated singularity we establish the existence of a versal henselian deformation. Obstruction theory in terms of an André-Qui…
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…
Stably reflexive modules and a lemma of Knudsen
Runar Ile
In his fundamental work on the stack of stable n-pointed genus g curves, Finn F. Knudsen introduced the concept of a stably reflexive module in order to prove a key technical lemma…
Cohen-Macaulay approximation in fibred categories
Runar Ile
We extend the Auslander-Buchweitz axioms and prove Cohen-Macaulay approximation results for fibred categories. Then we show that these axioms apply for the fibred category of pairs…