4 papers
Degenerations of chain complexes
Judith Marquardt
We study degenerations of orbits in varieties of chain complexes of projective modules. We show that degenerations are characterized in terms of certain admissible short exact sequ…
A new characterisation of Auslander-Gorenstein algebras
Viktória Klász, Markus Kleinau, Rene Marczinzik +1
We give a new characterisation of Auslander-Gorenstein finite dimensional algebras by showing that they are exactly the finite dimensional algebras with a well-defined Auslander-Re…
Degenerations of families of bands and strings for gentle algebras
Judith Marquardt
Let be a gentle algebra. For every collection of string and band diagrammes, we consider the constructible subset of the variety of representations containing all modules with…
Nakayama algebras of small homological dimension and pattern avoiding permutations
Viktória Klász, René Marczinzik, Judith Marquardt
We give a combinatorial classification of Nakayama algebras of small homological dimension using the Krattenthaler bijection between Dyck paths and 132-avoiding permutations.