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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…