2 citations · 2 across the 8 of their papers we have counts for
8 papers
Tangent spaces of orbit closures for representations of Dynkin quivers of type D
Grzegorz Bobinski, Grzegorz Zwara
Let be an algebraically closed field, a finite quiver, and denote by the affine -scheme of representations of with a f…
The closure of the set of periodic modules over a concealed canonical algebra is regular in codimension one
Grzegorz Bobinski, Grzegorz Zwara
Let A be a concealed canonical algebra and d the dimension vector of an A-module which is periodic respect to the action of the Auslander-Reiten translation In the paper, we invest…
Regular orbit closures in module varieties
Nguyen Quang Loc, Grzegorz Zwara
Let A be a finitely generated associative algebra over an algebraically closed field. We characterize the finite dimensional modules over A whose orbit closures are regular varieti…
Codimension two singularities for representations of extended Dynkin quivers
Grzegorz Zwara
Let M and N be two representations of an extended Dynkin quiver such that the orbit O_N of N is contained in the orbit closure \bar{O_M} and has codimension two. We show that the p…
Singularities of orbit closures in module varieties and cones over rational normal curves
Grzegorz Zwara
Let be a point of an orbit closure in a module variety such that its orbit has codimension two in . We show that under some additional conditions t…
Normality of orbit closures for directing modules over tame algebras
Grzegorz Bobiński, Grzegorz Zwara
We show that the orbit closures for directing modules over tame algebras are normal and Cohen-Macaulay. The proof is based on deformations to normal toric varieties.