Kleinian singularities, derived categories and Hall algebras

Details Kleinian singularities, derived categories and Hall algebras Kleinian singularities, derived categories and Hall algebras

1998-12-02

arxiv.org/abs/math/9812016v2

Mathematics

Algebraic Geometry

12 pages, TeX

Scientific paper

We describe the derived category of coherent sheaves on the minimal
resolution of the Kleinian singularity associated to a finite subgroup G of
SL(2). Then, we give an application to the Euler-characteristic version of the
Hall algebra of the category of coherent sheaves on an algebraic surface.

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