Perverse coherent sheaves and Fourier-Mukai transforms on surfaces

2010/03/12 by Kota Yoshioka, Yoshioka, Kota
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.1003.2522

69 pages

arxiv created 2011/11/25 · arxiv updated 2015/03/13

Abstract

We study perverse coherent sheaves on the resolution of rational double points. As examples, we consider rational double points on 2-dimensional moduli spaces of stable sheaves on K3 and elliptic surfaces. Then we show that perverse coherent sheaves appears in the theory of Fourier-Mukai transforms. As an application, we generalize the Fourier-Mukai duality for K3 surfaces to our situation.

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