1 citations · 2 across the 7 of their papers we have counts for
9 papers
Series of Fano quiver moduli from extended Dynkin quivers
Pieter Belmans, Markus Reineke
Associated to small extended Dynkin quivers, we construct series of Fano varieties of fixed Picard rank at most five and arbitrary even dimension, which admit a very explicit descr…
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…
Fano 4-fold quiver moduli from subspace quivers
Pieter Belmans, Markus Reineke
We classify the moduli spaces of representations of subspace quivers which are Fano fourfolds, under a natural assumption on the dimension vector. These moduli spaces can also be 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…
A-D-E diagrams, Hodge--Tate hyperplane sections and semisimple quantum cohomology
Pieter Belmans, Sergey Galkin, Naichung Conan Leung +3
It is known that the semisimplicity of quantum cohomology implies the vanishing of off-diagonal Hodge numbers (Hodge--Tateness). We investigate which hyperplane sections of homogen…
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…
Failure of Bott vanishing for (co)adjoint partial flag varieties
Pieter Belmans
Bott vanishing is a strong vanishing result for the cohomology of exterior powers of the cotangent bundle twisted by ample line bundles. Buch-Thomsen-Lauritzen-Mehta conjectured th…
Vector fields and admissible embeddings for quiver moduli
Pieter Belmans, Ana-Maria Brecan, Hans Franzen +1
We introduce a double framing construction for moduli spaces of quiver representations. It allows us to reduce certain sheaf cohomology computations involving the universal represe…
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…