An application of exceptional bundles to the moduli of stable sheaves on a K3 surface

Details An application of exceptional bundles to the moduli of stable sheaves on a K3 surface An application of exceptional bundles to the moduli of stable sheaves on a K3 surface

1997-05-29

arxiv.org/abs/alg-geom/9705027v2

Mathematics

Algebraic Geometry

12 pages, AMS-Latex

Scientific paper

Let M(v) be the moduli of stable sheaves on K3 surfaces X of Mukai vector v. If v is primitive, than it is expected that M(v) is deformation equivalent to some Hilbert scheme and weight two hogde structure can be described by H^*(X,Z). These are known by Mukai, O'Grady and Huybrechts if rank is 1 or 2, or the first Chern class is primitive. Under some conditions on the dimension of M(v), we shall show that these assertion are true. For the proof, we shall use Huybrechts's results on symplectic manifolds.

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