McKay correspondence and equivariant sheaves on $P^1$

Details McKay correspondence and equivariant sheaves on $P^1$ McKay correspondence and equivariant sheaves on $P^1$

2006-03-14

arxiv.org/abs/math/0603359v1

Mathematics

Algebraic Geometry

24 pages, 3 figures

Scientific paper

Let $G$ be a finite subgroup in SU(2), and $Q$ the corresponding affine
Dynkin diagram. In this paper, we review the relation between the categories of
$G$-equivariant sheaves on $P^1$ and $Rep Q_h$, where $h$ is an orientation of
$Q$, constructing an explicit equivalence of corresponding derived categories.

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