Kleinian singularities, derived categories and Hall algebras
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keywords
categorycoherentderivedhallkleiniansheavesalgebraalgebraic
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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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