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Title:
Kodaira dimension of moduli spaces of hyperkähler manifolds
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Abstract:
We study the geometry of some moduli spaces of polarized hyperkähler manifolds. We use techniques of Gritsenko-Hulek-Sankaran involving the Borcherds modular form to determine a bound on the degree of the polarization after which these moduli spaces are always of general type. This is joint work with I. Barros, P. Beri, and E. Brakkee.
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