| Full text | |
| Author(s): |
Bartocci, Claudio
;
Bruzzo, Ugo
;
Lanza, Valeriano
;
Rava, Claudio L. S.
Total Authors: 4
|
| Document type: | Journal article |
| Source: | Journal of Pure and Applied Algebra; v. 221, n. 8, p. 2132-2155, AUG 2017. |
| Web of Science Citations: | 1 |
| Abstract | |
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 ADHM data for the Hilbert scheme of points of the total space of the line bundles phi(-n) on P-1, for n >= 1, i.e., the resolutions of the singularities of type (1, 1). Basically by implementing a version of the special McKay correspondence, this ADHM description is in turn used to realize these Hilbert schemes as irreducible connected components of quiver varieties. We obtain in this way new examples of quiver varieties which are not of the Nakajima type. (C) 2016 Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 15/07766-4 - Moduli spaces of sheaves on Hirzebruch surfaces, Poisson geometry, and integrable systems |
| Grantee: | Valeriano Lanza |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |