Browsing by Author "Rava, Claudio L.S."
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Item Hilbert schemes of points of OP1(-n) as quiver varieties(arXiv:1504.02987 [math.AG], 2015-04) Bruzzo, Ugo; Bartocci, Claudio; Lanza, Valeriano; Rava, Claudio L.S.; MathematicsRelying on a representation of framed torsion-free sheaves on Hirzebruch surfaces in terms of monads, we construct ADHM data for the Hilbert scheme of points of the total space of the line bundle $\mathcal O(-n)$ on $\mathbb P^1$. This ADHM description is then used to realize these Hilbert schemes as quiver varieties.Item Monads for framed sheaves on Hirzebruch surfaces(2013) Bartocci, Claudio; Bruzzo, Ugo; Rava, Claudio L.S.; MathematicsWe define monads for framed torsion-free sheaves on Hirzebruch surfaces and use them to construct moduli spaces for these objects. These moduli spaces are smooth algebraic varieties, and we show that they are fine by constructing a universal monad.