On holomorphic conformal structures associated with lattice polarized K3 surfaces

Autor:	Malmendier, Andreas, Schultz, Michael T.
Rok vydání:	2024
Předmět:	Mathematics - Algebraic Geometry Mathematics - Differential Geometry 14D07 14J28 53C18
Druh dokumentu:	Working Paper
Popis:	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. Comment: 15 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2401.10950 Zobrazit plný text záznamu View this record from Arxiv