Arithmetic normal functions and filtrations on Chow groups

DOI10.1090/S0002-9939-2011-11130-4zbMath1285.14008MaRDI QIDQ2845540

James D. Lewis

Publication date: 2 September 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Chow groupBloch-Beilinson filtrationarithmetic normal function

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 (4)

Rationally inequivalent points on hypersurfaces in \(\mathbb{P}^n\) ⋮ Indecomposable cycles and arithmetic normal functions ⋮ Tautological classes on moduli spaces of hyper-Kähler manifolds ⋮ Lectures on Hodge theory and algebraic cycles

Cites Work

• Algebraic cycles and higher K-theory
• Mixed motives and algebraic K-theory. (Almost unchanged version of the author's habilitation at Univ. Regensburg 1988)
• The Leray spectral sequence is motivic
• The Abel-Jacobi map for higher Chow groups. II
• A Survey of the Hodge Conjecture
• Algebraic cycles and Mumford-Griffiths invariants
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