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Kleinian singularities, derived categories and Hall algebras

M. Kapranov·E. Vasserot
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Abstract

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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M. Kapranov, E. Vasserot. 1999-03-02. Kleinian singularities, derived categories and Hall algebras. https://arxiv.org/abs/math/9812016

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