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Search Results: 1 - 10 of 1101 matches for " Grzegorz Bobinski "
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Geometry and the zero sets of semi-invariants for homogeneous modules over canonical algebras
Grzegorz Bobinski
Mathematics , 2006,
Abstract: We characterize the canonical algebras such that for all dimension vectors of homogeneous modules the corresponding module varieties are complete intersections (respectively, normal). We also investigate the sets of common zeros of semi-invariants of non-zero degree in important cases. In particular, we show that for sufficiently big vectors they are complete intersections and calculate the number of their irreducible components.
Orbit closures of directing modules are regular in codimension one
Grzegorz Bobinski
Mathematics , 2007, DOI: 10.1112/jlms/jdn067
Abstract: 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 module variety.
On regularity in codimension one of irreducible components of module varieties
Grzegorz Bobinski
Mathematics , 2008,
Abstract: 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 dimension vector d is regular in codimension one.
The graded centers of derived discrete algebras
Grzegorz Bobinski
Mathematics , 2009,
Abstract: We describe in the paper the graded centers of the derived categories of the derived discrete algebras. In particular, we prove that if $A$ is a derived discrete algebra, then the reduced part of the graded center of the derived category of $A$ is nontrivial if and only if $A$ has infinite global dimension. Moreover, we show that the nilpotent part of the graded center is controlled by the objects for which the Auslander--Reiten translation coincides with a power of the suspension functor.
The almost split triangles for perfect complexes over gentle algebras
Grzegorz Bobinski
Mathematics , 2009,
Abstract: In the paper we describe the almost split sequences in the homotopy category of perfect complexes over a gentle algebra.
Semi-invariants for concealed-canonical algebras
Grzegorz Bobinski
Mathematics , 2012,
Abstract: 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.
On moduli spaces for quasi-tilted algebras
Grzegorz Bobinski
Mathematics , 2013,
Abstract: 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 geometric characterization of the tame quasi-tilted algebras.
The derived equivalence classification of gentle two-cycle algebras
Grzegorz Bobinski
Mathematics , 2015,
Abstract: We complete the derived equivalence classification of the gentle two-cycle algebras initiated in earlier papers by Avella-Alaminos and Bobinski-Malicki.
Geometry of regular modules over canonical algebras
Grzegorz Bobinski
Mathematics , 2005, DOI: 10.1090/S0002-9947-07-04174-8
Abstract: 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 prove that for the dimension vectors of regular modules normality is equivalent to irreducibility.
Normal forms of modules over admissible algebras with formal two-ray modules
Grzegorz Bobinski
Mathematics , 2005, DOI: 10.1007/s10114-005-0820-1
Abstract: 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.
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