G. Zwara

collaborators

4 papers

math.AG2005

Singularities of orbit closures in module varieties and cones over rational normal curves

Grzegorz Zwara

Let $N$ be a point of an orbit closure $O_{M} ˉ$ in a module variety such that its orbit $O_{N}$ has codimension two in $O_{M} ˉ$ . We show that under some additional conditions t…

math.AG2004

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.

math.AG2004

Orbit closures for representations of Dynkin quivers are regular in codimension two

Grzegorz Zwara

We develop reductions for classifications of singularities of orbit closures in module varieties. Then we show that the orbit closures for representations of Dynkin quivers are reg…

math.AG2004

Regularity in codimension one of orbit closures in module varieties

Grzegorz Zwara

Let M_d(k) denote the space of dxd-matrices with coefficients in an algebraically closed field k. Let X be an orbit closure in the product [M_d(k)]^t equipped with the action of th…