The Standard Conjectures for holomorphic symplectic varieties deformation equivalent to Hilbert schemes of K3 surfaces

Mathematics – Algebraic Geometry

Scientific paper

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15 pages, minor changes

Scientific paper

We prove the standard conjectures for complex projective varieties that are
deformations of the Hilbert scheme of points on a K3 surface. The proof
involves Verbitsky's theory of hyperholomorphic sheaves and a study of the
cohomology algebra of Hilbert schemes of K3 surfaces.

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