McKay correspondence and Hilbert schemes in dimension three

Kavli Affiliate: Yukari Ito | Summary:Let $G$ be a nontrivial finite subgroup of $SL_n(C)$. Suppose that the quotient singularity $C^n/G$ has a crepant resolution $Ď€colon Xto C^n/G$ (i.e. $K_X = shfO_X$). There is a slightly imprecise conjecture, called the McKay correspondence, stating that there is a relation between the Grothendieck group (or (co)homology group) of […]


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