Limits and singularities of normal functions

DOI10.1007/s40879-021-00483-8OpenAlexW3195112304MaRDI QIDQ2667144

Tokio Sasaki

Publication date: 24 November 2021

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.05633

zbMATH Keywords

\(K3\) surfacesalgebraic cycleshigher Chow groupsvariation of Hodge structureshigher regulators

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Variation of Hodge structures (algebro-geometric aspects) (14D07) Algebraic cycles (14C25) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Étale cohomology, higher regulators, zeta and (L)-functions ((K)-theoretic aspects) (19F27)

Cites Work

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• Théorie de Hodge. III
• An Exponential History of Functions with Logarithmic Growth
• Néron models and limits of Abel–Jacobi mappings
• Constructing Indecomposable Motivic Cohomology Classes on Algebraic Surfaces
• The Hodge-𝒟-conjecture for 𝒦3 and Abelian surfaces
• Mirror symmetry, Tyurin degenerations and fibrations on Calabi-Yau manifolds
• Mixed Hodge Structures
• The Abel–Jacobi map for higher Chow groups

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