Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9493325 | Journal of Algebra | 2005 | 24 Pages |
Abstract
For a finite Abelian subgroup AâSL(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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Alastair Craw,