Deformations of Hilbert Schemes of Points on K3 Surfaces and Representation Theory
Date
2014-04-22
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Abstract
We study the cohomology rings of Kaehler deformations X of Hilbert schemes of points on K3 surfaces by representation theory. We compute the graded character formula of the Mumford - Tate group representation on the cohomology ring of X. Furthermore, we also study the Hodge structure of X, and find the generating series for deducting the number of canaonical Hodge classes in the middle cohomology.
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Advisor
Degree
Doctor of Philosophy
Type
Thesis
Keywords
Hilbert scheme, Representation theory, Hyperkaehler manifolds
Citation
Zhang, Letao. "Deformations of Hilbert Schemes of Points on K3 Surfaces and Representation Theory." (2014) Diss., Rice University. https://hdl.handle.net/1911/77609.
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