7 citations · 18 across the 8 of their papers we have counts for
9 papers
Nested Hilbert Schemes on Hirzebruch surfaces and quiver varieties
Ugo Bruzzo, Valeriano Lanza, Pedro H. Dos Santos
For we show that the length 1 nested Hilbert scheme of the total space of the line bundle , parameterizing pairs of nested 0-cycles in…
Obstruction theory for moduli spaces of framed flags of sheaves on the projective plane
Rodrigo A. Von Flach, Marcos Jardim, Valeriano Lanza
In a previous paper, the first two named authors established an isomorphism between the moduli space of framed flags of sheaves on the projective plane and the moduli space of stab…
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…
On the codimension of Noether-Lefshetz loci for toric threefolds
Valeriano Lanza, Ivan Martino
In this manuscript we sharpen the lower bound on the codimension of the irreducible components of the Noether-Lefschetz locus of surfaces in projective toric threefolds given in [B…
Semistable Higgs bundles on Calabi-Yau manifolds
Ugo Bruzzo, Valeriano Lanza, Alessio Lo Giudice
We provide a partial classification of semistable Higgs bundles over a simply connected Calabi-Yau manifolds. Applications to a conjecture about a special class of semistable Higgs…
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…
Moduli spaces of framed flags of sheaves on the projective plane
Rodrigo A. von Flach, Marcos Jardim
We study the moduli space of framed flags of sheaves on the projective plane via an adaptation of the ADHM construction of framed sheaves. In particular, we prove that, for certain…
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…
ADHM data for the Hilbert scheme of points of the total space of
Claudio Bartocci, Ugo Bruzzo, Valeriano Lanza +1
Relying on a monadic description of the moduli space of framed sheaves on Hirzebruch surfaces, we construct ADHM data for the Hilbert scheme of points of the total space of the lin…