1 citations · 2 across the 6 of their papers we have counts for
7 papers
Ample stability implies rigidity for quiver moduli
Pieter Belmans, Gianni Petrella
We show that ample stability suffices to apply Teleman quantisation to the endomorphism bundle of the universal representation on a quiver moduli space, and thus in particular to d…
Brauer groups of resolved quiver moduli via gerbes
Pieter Belmans, Gianni Petrella, Sebastián Torres
We show that the Brauer group of any resolution of singularities of the moduli space of semistable quiver representations is trivial. We do this by extending the quiver-curve dicti…
Benchmarks in Leipzig
Andrei Balakin, Miklós Bóna, Marie-Charlotte Brandenburg +45
Between April 1 and May 15, 2026, a group of 49 mathematicians compiled a dataset of research-level mathematics questions with known answers. Most of the work was done during the t…
Finding the walls for quiver moduli
Hans Franzen, Gianni Petrella, Rachel Webb
We give an effective characterisation of the walls in the variation of geometric invariant theory problem associated to a quiver and a dimension vector.
The QuiverTools package for SageMath and Julia
Pieter Belmans, Hans Franzen, Gianni Petrella
We introduce QuiverTools, a new software package, available in both a SageMath and Julia version, to study quivers and their moduli spaces of representations. Its key features are…
Partial semiorthogonal decompositions for quiver moduli
Gianni Petrella
We embed several copies of the derived category of a quiver and certain line bundles in the derived category of an associated moduli space of representations, giving the start of a…
Rigidity and Schofield's partial tilting conjecture for quiver moduli
Pieter Belmans, Ana-Maria Brecan, Hans Franzen +2
We explain how Teleman quantization can be applied to moduli spaces of quiver representations to compute the higher cohomology of the endomorphism bundle of the universal bundle. W…