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.
Original language | English |
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Pages (from-to) | 682-705 |
Journal | Journal of Algebra |
Volume | 285 |
Issue number | 2 |
DOIs | |
Publication status | Published - 15 Mar 2005 |