An explicit construction of the McKay correspondence for A-Hilb C 3
An explicit construction of the McKay correspondence for A-Hilb C 3
复制标题
A-Hilb C 3 的麦凯对应关系的显式构造
DOI：
10.1016/j.jalgebra.2004.10.001
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发表时间：
2000
影响因子：
0.9
通讯作者：
Alastair Craw
中科院分区：
文献类型：
--
作者：
Alastair Craw
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.
