Triangulated categories of Gorenstein cyclic quotient singularities

Details Triangulated categories of Gorenstein cyclic quotient singularities Triangulated categories of Gorenstein cyclic quotient singularities

2007-10-10

arxiv.org/abs/0710.1911v2

Mathematics

Algebraic Geometry

3 pages, no figures; v2: removed an error pointed out by Kentaro Nagao

Scientific paper

We prove an equivalence of triangulated categories between Orlov's
triangulated category of singularities for a Gorenstein cyclic quotient
singularity and the derived category of representations of a quiver with
relations which is obtained from the McKay quiver by removing one vertex and
half of the arrows.

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