Higher Chow groups and the Hodge-\({\mathcal D}\)-conjecture

DOI10.1215/S0012-7094-96-08508-7zbMath0899.14002WikidataQ123233326 ScholiaQ123233326MaRDI QIDQ1816475

James D. Lewis

Publication date: 11 November 1998

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

hypersurfaceshigher Chow groupsmixed Hodge structurelevel

Mathematics Subject Classification ID

Parametrization (Chow and Hilbert schemes) (14C05) Algebraic cycles (14C25) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

Related Items (1)

The complexity of higher Chow groups

Cites Work

• Log complexes of currents and functorial properties of the Abel-Jacobi map
• Higher regulators and values of \(L\)-functions
• A note on a theorem of Griffiths on the Abel-Jacobi map
• Algebraic cycles and higher K-theory
• Duality of mixed Hodge structures of algebraic varieties
• Mixed motives and algebraic K-theory. (Almost unchanged version of the author's habilitation at Univ. Regensburg 1988)
• Green forms and their product.
• A generalization of Mumford's theorem. II
• On the motive of an algebraic surface.
• Cylinder Homomorphisms and Chow Groups
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