7 citations · 16 across the 18 of their papers we have counts for
21 papers · 1 filter
Derived equivalences for the derived discrete algebras are standard
Grzegorz Bobinski, Tomasz Ciborski
We prove that any derived equivalence between derived discrete algebras is standard, i.e.\ is isomorphic to the derived tensor product by a two-sided tilting complex.
Two vertex geometrically irreducible algebras
Grzegorz Bobinski, Grzegorz Zwara
We complete a classification of the two-vertex geometrically irreducible algebras. We also classify the algebras in new classes of hom- and ext-irreducible algebras.
Derived Hall algebras of one-cycle gentle algebras: The infinite global dimension case
Grzegorz Bobinski, Janusz Schmude
We describe, in terms of generators and relations, the derived Hall algebras associated to the one-cycle gentle algebras of infinite global dimension.
A characterization of representation infinite quiver settings
Grzegorz Bobinski
We characterize pairs (Q,d) consisting of a quiver Q and a dimension vector d, such that over a given algebraically closed field k there are infinitely many representations of Q of…
Algebras with irreducible module varieties III: Birkhoff varieties
Grzegorz Bobinski
We study a family of affine varieties arising from a version of an old problem due to Birkhoff asking for the classification of embeddings of finite abelian p-groups. We show that…
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…
The Krull-Gabriel dimension of discrete derived categories
Grzegorz Bobinski, Henning Krause
We compute the Krull-Gabriel dimension of the category of perfect complexes for finite dimensional algebras which are derived discrete.
On moduli spaces for quasi-tilted algebras
Grzegorz Bobinski
We prove that if a quasi-tilted algebra is tame, then the associated moduli spaces are products of projective spaces. Together with an earlier result of Chindris this gives a geome…
Semi-invariants for concealed-canonical algebras
Grzegorz Bobinski
In the paper is we generalize known descriptions of rings of semi-invariants for regular modules over Euclidean and canonical algebras to arbitrary concealed-canonical algebras.
Normality of maximal orbit closures for Euclidean quivers
Grzegorz Bobinski
Let Delta be an Euclidean quiver. We prove that the closures of the maximal orbits in the varieties of representations of Delta are normal and Cohen--Macaulay (even complete inters…
The algebras derived equivalent to gentle cluster tilted algebras
Grzegorz Bobinski, Aslak Bakke Buan
A cluster tilted algebra is known to be gentle if and only if it is cluster tilted of Dynkin type $\bbA$ or Euclidean type $\tilde{\bbA}$. We classify all finite dimensional algebr…
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…
Orbit closures of directing modules are regular in codimension one
Grzegorz Bobinski
We show that the orbit closure of a directing module is regular in codimension one. In particular, this result gives information about a distinguished irreducible component of a mo…
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…
Geometry of regular modules over canonical algebras
Grzegorz Bobinski
We classify canonical algebras such that for every dimension vector of a regular module the corresponding module variety is normal (respectively, a complete intersection). We also…
Normal forms of modules over admissible algebras with formal two-ray modules
Grzegorz Bobinski
The aim of the paper is to classify the indecomposable modules and describe the Auslander--Reiten sequences for admissible algebras with formal two-ray modules.
A characterization of admissible algebras with formal two-ray modules
Grzegorz Bobinski
In the paper we characterize, in terms of quivers and relations, the admissible algebras with formal two-ray modules introduced by G. Bobiński and A. Skowroński [Cent. Eur. J.Math.…