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Singularities of the 2-dimensional moduli spaces of stable sheaves on K3 surfaces

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arxiv math/0208241 v2 pith:JXL2UD62 submitted 2002-08-30 math.AG

Singularities of the 2-dimensional moduli spaces of stable sheaves on K3 surfaces

Nobuaki Onishi , Kota Yoshioka This is my paper
classification math.AG
keywords modulisheavesdimensionalexceptionalsinguralitiesspacessurfacesconsider
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We consider the singuralities of 2-dimensional moduli spaces of semi-stable sheaves on K3 surfaces. We show that the moduli space is normal, in particular the singuralities are rational double points. We also describe the exceptional locus on the resolution in terms of exceptional sheaves.

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