An explicit construction of the McKay correspondence for A-Hilb C^3
Algebraic Geometry
2011-02-11 v2
Abstract
For a finite Abelian subgroup A of SL(3,C), Ito and Nakajima proved that the tautological bundles on the A-Hilbert scheme Y = A-Hilb(C^3) 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.
Cite
@article{arxiv.math/0010053,
title = {An explicit construction of the McKay correspondence for A-Hilb C^3},
author = {Alastair Craw},
journal= {arXiv preprint arXiv:math/0010053},
year = {2011}
}
Comments
25 pages, 20 figures