arXiv Analytics

Sign in

arXiv:1403.0460 [math.AG]AbstractReferencesReviewsResources

ADHM data for the Hilbert scheme of points of the total space of $\mathcal O_{\mathbb P^1}(-n)$

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

Published 2014-03-03, updated 2014-12-06Version 3

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 line bundle $\mathcal O(-n)$ on $\mathbb P^1$.

Comments: 23 pages. v2: typos corrected, minor changes. v3: Appendix A has been streamlined
Categories: math.AG
Subjects: 14D20, 14D21, 14J60
Related articles: Most relevant | Search more
arXiv:1504.02987 [math.AG] (Published 2015-04-12, updated 2015-04-14)
Quiver varieties and Hilbert schemes of points of $\mathcal O_{\mathbb P^1}(-n)$
arXiv:1208.0869 [math.AG] (Published 2012-08-03, updated 2013-03-28)
On the Hilbert scheme of the moduli space of vector bundles over an algebraic curve
arXiv:1202.6528 [math.AG] (Published 2012-02-29, updated 2013-05-22)
Stability of tautological bundles on the Hilbert scheme of two points on a surface

Links

Toolbox