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arXiv · 2401.10950

On holomorphic conformal structures associated with lattice polarized K3 surfaces

Andreas Malmendier·Michael T. Schultz
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Abstract

We discuss the connection between Picard-Fuchs equations for certain families of lattice polarized K3 surfaces and the construction of integrable holomorphic conformal structures on their period domains. We then compute an explicit example of a locally conformally flat holomorphic metric associated with generic Jacobian Kummer surfaces, which allows for a novel description of the local variation of complex structure.

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Andreas Malmendier, Michael T. Schultz. 2024-01-18. On holomorphic conformal structures associated with lattice polarized K3 surfaces. https://doi.org/10.1090/conm%2F821%2F16440

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