Indecomposable cycles and arithmetic normal functions

DOI10.1007/s40590-016-0146-2zbMath1430.14021OpenAlexW2510330574MaRDI QIDQ1743768

José Jaime Hernández Castillo

Publication date: 16 April 2018

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40590-016-0146-2

zbMATH Keywords

higher Chow grouparithmetic normal functionindecomposable cycles

Mathematics Subject Classification ID

Algebraic cycles (14C25) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Related Items (1)

The complexity of higher Chow groups

Cites Work

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• Normal functions, Picard-Fuchs equations, and elliptic fibrations on \(K3\) surfaces
• Modules de Hodge polarisables. (Polarisable Hodge modules)
• Beilinson-Hodge cycles on semiabelian varieties
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• Lectures on algebraic cycles.
• The Leray spectral sequence is motivic
• The transcendental part of the regulator map for \(K_1\) on a mirror family of \(K3\)-surfaces.
• Noether-Lefschetz for \(K_1\) of a certain class of surfaces
• The Abel-Jacobi map for higher Chow groups. II
• Théorie de Hodge. II. (Hodge theory. II)
• Arithmetic normal functions and filtrations on Chow groups
• Transcendental Methods in the Study of Algebraic Cycles with a Special Emphasis on Calabi–Yau Varieties
• Constructing Indecomposable Motivic Cohomology Classes on Algebraic Surfaces
• Beilinson's Hodge Conjecture for Smooth Varieties
• Mixed Hodge modules

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