177 citations · 1k across the 25 of their papers we have counts for
25 papers
Strongly primitive species with potentials: aims and limitations
Daniel Labardini-Fragoso
This is an extended abstract of my talk at the Oberwolfach Workshop ''Cluster Algebras and Related Topics'' (December 8 - 14, 2013). It is based on a joint work with A. Zelevinsky…
Semicontinuous maps on module varieties
Christof Geiß, Daniel Labardini-Fragoso, Jan Schröer
We study semicontinuous maps on varieties of modules over finite-dimensional algebras. We prove that truncated Euler maps are upper or lower semicontinuous. This implies that -v…
Schemes of modules over gentle algebras and laminations of surfaces
Christof Geiß, Daniel Labardini-Fragoso, Jan Schröer
We study the affine schemes of modules over gentle algebras. We describe the smooth points of these schemes, and we also analyze their irreducible components in detail. Several of…
Rigid modules and Schur roots
Christof Geiß, Bernard Leclerc, Jan Schröer
Let be a symmetrizable generalized Cartan matrix with symmetrizer and orientation . In previous work we associated an algebra to this data, such that the locally fre…
Quivers with relations for symmetrizable Cartan matrices V. Caldero-Chapoton formula
Christof Geiß, Bernard Leclerc, Jan Schröer
We generalize the Caldero-Chapoton formula for cluster algebras of finite type to the skew-symmetrizable case. This is done by replacing representation categories of Dynkin quivers…
Quivers with relations for symmetrizable Cartan matrices IV: Crystal graphs and semicanonical functions
Christof Geiß, Bernard Leclerc, Jan Schröer
We generalize Lusztig's nilpotent varieties, and Kashiwara and Saito's geometric construction of crystal graphs from the symmetric to the symmetrizable case. We also construct semi…