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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…