Hilbert schemes of points of OP1(-n) as quiver varieties

Bruzzo, Ugo; Bartocci, Claudio; Lanza, Valeriano; Rava, Claudio L.S.

dc.contributor.author	Bruzzo, Ugo
dc.contributor.author	Bartocci, Claudio
dc.contributor.author	Lanza, Valeriano
dc.contributor.author	Rava, Claudio L.S.
dc.date.accessioned	2015-08-10T07:49:02Z
dc.date.available	2015-08-10T07:49:02Z
dc.date.issued	2015-04
dc.identifier.uri	http://preprints.sissa.it/xmlui/handle/1963/34487
dc.description.abstract	Relying 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.	en_US
dc.language.iso	en	en_US
dc.publisher	arXiv:1504.02987 [math.AG]	en_US
dc.subject	Hilbert schemes of points	en_US
dc.subject	Quiver varieties	en_US
dc.subject	Quiver representations	en_US
dc.subject	ADHM adata	en_US
dc.subject	Monads	en_US
dc.title	Hilbert schemes of points of OP1(-n) as quiver varieties	en_US
dc.type	Preprint	en_US
dc.subject.miur	MAT/05	en_US
dc.miur.area	1	en_US
dc.contributor.area	Mathematics	en_US