Craw, A. (2011) The special McKay correspondence as an equivalence of derived categories. Quarterly Journal of Mathematics, 62(3), pp. 573-591. (doi: 10.1093/qmath/haq006)
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Abstract
We give a new moduli construction of the minimal resolution of the singularity of type 1/r(1,a) by introducing the Special McKay quiver. To demonstrate that our construction trumps that of the G-Hilbert scheme, we show that the induced tautological line bundles freely generate the bounded derived category of coherent sheaves on X by establishing a suitable derived equivalence. This gives a moduli construction of the Special McKay correspondence for abelian subgroups of GL(2).
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Craw, Dr Alastair |
| Authors: | Craw, A. |
| Subjects: | Q Science > QA Mathematics |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Quarterly Journal of Mathematics |
| Journal Abbr.: | Quart. J. Math. |
| ISSN: | 0033-5606 |
| ISSN (Online): | 1464-3847 |
| Published Online: | 18 March 2010 |
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