The standard conjectures for holomorphic symplectic varieties deformation equivalent to Hilbert schemes of K3 surfaces

By Franccois Charles, E. Markman. Compositio Mathematica, 2010

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Abstract 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.

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/8113c810a0150455de6cce792aa36b0f84736485