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The graded centers of derived discrete algebras
Grzegorz Bobinski
We describe in the paper the graded centers of the derived categories of the derived discrete algebras. In particular, we prove that if is a derived discrete algebra, then the…
The almost split triangles for perfect complexes over gentle algebras
Grzegorz Bobinski
In the paper we describe the almost split sequences in the homotopy category of perfect complexes over a gentle algebra.
Canonical tilting modules over shod algebras are regular in codimension one
Grzegorz Bobinski
We show that for a class of modules over shod algebras, including the canonical tilting modules, the closures of the corresponding orbits in module varieties are regular in codimen…
On regularity in codimension one of irreducible components of module varieties
Grzegorz Bobinski
Let A be a tame quasi-tilted algebra and d the dimension vector of an indecomposable A-module. In the paper we prove that each irreducible component of the variety of A-modules of…
On the zero set of semi-invariants for regular modules over tame canonical algebras
Grzegorz Bobinski
We investigate sets of the common zeros of non-constant semi-invariants for regular modules over canonical algebras. In particular, we show that if the considered algebra is tame t…
Geometry and the zero sets of semi-invariants for homogeneous modules over canonical algebras
Grzegorz Bobinski
We characterize the canonical algebras such that for all dimension vectors of homogeneous modules the corresponding module varieties are complete intersections (respectively, norma…