19 citations · 74 across the 17 of their papers we have counts for
17 papers
On the Irreducibility of Some Quiver Varieties
Claudio Bartocci, Ugo Bruzzo, Valeriano Lanza +1
We prove that certain quiver varieties are irreducible and therefore are isomorphic to Hilbert schemes of points of the total spaces of the bundles f…
Some remarks on blueprints and -schemes
Claudio Bartocci, Andrea Gentili, Jean-Jacques Szczeciniarz
Over the past two decades several different approaches to defining a geometry over have been proposed. In this paper, relying on Toën and Vaquié's formalism, we inv…
Homology of twisted quiver bundles with relations
Claudio Bartocci, Ugo Bruzzo, Claudio L. S. Rava
We study the Ext modules in the category of left modules over a twisted algebra of a finite quiver over a ringed space , allowing for the presence of relations. W…
Moduli spaces of framed sheaves and quiver varieties
Claudio Bartocci, Valeriano Lanza, Claudio L. S. Rava
In the first part of this paper we provide a survey of some fundamental results about moduli spaces of framed sheaves on smooth projective surfaces. In particular, we outline a res…
Poisson-Nijenhuis structures on quiver path algebras
Claudio Bartocci, Alberto Tacchella
We introduce a notion of noncommutative Poisson-Nijenhuis structure on the path algebra of a quiver. In particular, we focus on the case when the Poisson bracket arises from a nonc…
Hilbert schemes of points of as quiver varieties
Claudio Bartocci, Ugo Bruzzo, Valeriano Lanza +1
In a previous paper, a realization of the moduli space of framed torsion-free sheaves on Hirzebruch surfaces in terms of monads was given. We build upon that result to construct AD…