Kleinian singularities, derived categories and Hall algebras

1998/12/02 by M. Kapranov, Kapranov, M., E. Vasserot +1 · 6 citations
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.math/9812016

12 pages, TeX

arxiv created 1999/03/02 · arxiv updated 2009/11/30

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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