Families of \(K3\) surfaces over curves reaching the Arakelov-Yau type upper bounds and modularity

DOI10.4310/MRL.2003.V10.N3.A4zbMath1100.14004OpenAlexW2163117662MaRDI QIDQ1429228

Sheng-Li Tan, Xiaotao Sun, Kang Zuo

Publication date: 18 May 2004

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/mrl.2003.v10.n3.a4

zbMATH Keywords

Kodaira-Spencer maps\(K3\) fibered Calabi-Yau threefoldsnon-isotrivial families

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Period matrices, variation of Hodge structure; degenerations (32G20) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05)

Related Items (3)

Lattices, Diophantine equations and applications to rational surfaces ⋮ Families of K3 surfaces and Lyapunov exponents ⋮ Singular fibers and Kodaira dimensions

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