Craw, A. (2005) An explicit construction of the McKay correspondence for A-Hilb C3. Journal of Algebra, 285(2), pp. 682-705. (doi: 10.1016/j.jalgebra.2004.10.001)
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Publisher's URL: http://dx.doi.org/10.1016/j.jalgebra.2004.10.001
Abstract
For a finite Abelian subgroup A ⊂ SL(3,C), let Y=A-Hilb (C3) denote the scheme parametrising A-clusters in C3. Ito and Nakajima proved that the tautological line bundles (indexed by the irreducible representations of A) form a basis of the K-theory of Y. We establish the relations between these bundles in the Picard group of Y and hence, following a recipe introduced by Reid, construct an explicit basis of the integral cohomology of Y in one-to-one correspondence with the irreducible representations of A.
Item Type: | Articles |
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Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Craw, Dr Alastair |
Authors: | Craw, A. |
College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
Journal Name: | Journal of Algebra |
ISSN: | 0021-8693 |
ISSN (Online): | 1090-266X |
Published Online: | 29 January 2005 |
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