Character Formulas on Cohomology of Deformations of Hilbert Schemes of K3 Surfaces

Abstract

Let X be a hyperkahler manifold deformation equivalent to a Hilbert scheme of n points on a K3 surface. We compute the graded character formula of the generic Mumford-Tate group representation on the cohomology ring of X, and derive a generating series for deducing the number of canonical Hodge classes on X. The formula indicates the number of Hodge classes on X that remain Hodge under any deformation.

To appear in J. London Math. Soc

References in corpus (1)

• A classification of Lagrangian planes in holomorphic symplectic varieties

Cited by in corpus (1)

• The LLV decomposition of hyper-Kaehler cohomology