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

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

2002-08-30

arxiv.org/abs/math/0208241v2

Mathematics

Algebraic Geometry

15 pages, minor change

Scientific paper

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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