5 papers
Cluster scattering diagrams via quiver moduli and tight gradings
Amanda Burcroff, Kyungyong Lee, Lang Mou +2
We study rank-2 cluster scattering diagrams through moduli spaces of quiver representations and a recently developed combinatorial framework of tight gradings. Combining quiver-the…
Punctual noncommutative Hilbert schemes
Markus Reineke
Punctual noncommutative Hilbert schemes are projective varieties parametrizing finite codimensional left ideals in noncommutative formal power series rings. We determine their moti…
Counting generating spaces of matrices
Markus Reineke
We prove that generating subspaces of matrix rings over finite fields are counted by polynomials. We use this result to define and study two-variable versions of polynomials counti…
Spherical representation spaces of quivers
Jennifer Müller, Markus Reineke
We consider representation spaces of quivers, together with their base change action, and classify the spherical varieties among them.
Local intersection cohomology of varieties of complexes
Xin Fang, Markus Reineke
We compute the local intersection cohomology of the irreducible components of varieties of complexes, by using Lusztig's geometric approach to quantum groups and explicit construct…