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arXiv · 1301.6129

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

Letao Zhang
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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.

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Letao Zhang. 2013-01-25. Character Formulas on Cohomology of Deformations of Hilbert Schemes of K3 Surfaces. https://doi.org/10.1112/jlms%2Fjdv041

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