On holomorphic conformal structures associated with lattice polarized K3 surfaces

2024/01/18 by Andreas Malmendier, Malmendier, Andreas, Michael T. Schultz +1 · 1 voice · 1 citation
#math.AG #math.DG

paper · pdf · doi:10.48550/arxiv.2401.10950

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.

Cited by

• Geometric aspects of rank-3 vector bundles over surfaces and 2-plane distributions on 5-manifolds

Discussions

• New paper hit the arXiv last week and i finally found some time to make a little thread about it like i promised @rhymeswithspecimen.bsky.social . Read it (a cool 15 pgs) and i’ll come to your house [bsky, 9 points, 3 comments]

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