749 research outputs found
Semi-invariants for concealed-canonical algebras
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
Geometry and the zero sets of semi-invariants for homogeneous modules over canonical algebras
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.Comment: Significant changes to the previous version of the pape
On moduli spaces for quasi-tilted algebras
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
Geometry of regular modules over canonical algebras
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
Normality of maximal orbit closures for Euclidean quivers
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 intersections). Moreover, we give a
generalization of this result for the tame concealed-canonical algebras
On derived equivalence classification of gentle two-cycle algebras
We classify, up to derived (equivalently, tilting-cotilting) equivalence all
nondegenerate gentle two-cycle algebras. We also give a partial classification
and formulate a conjecture in the degenerate case
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