Higher Abel-Jacobi maps for 0-cycles

DOI10.1017/is007011012jkt003zbMath1151.14010arXivmath/0504086OpenAlexW2167929376WikidataQ57445976 ScholiaQ57445976MaRDI QIDQ3533795

Matthew Kerr

Publication date: 24 October 2008

Published in: Journal of K-Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0504086

zbMATH Keywords

regulatorChow groupdifferential characterMilnor K-theoryhigher Abel-Jacobi map

Mathematics Subject Classification ID

Algebraic cycles (14C25) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Higher symbols, Milnor (K)-theory (19D45) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Related Items (1)

The Abel-Jacobi map for higher Chow groups. II

Cites Work

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• Milnor \(K\)-theory is the simplest part of algebraic \(K\)-theory
• Some elementary theorems about algebraic cycles on Abelian varieties
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• An interesting 0-cycle
• Filtrations on Chow groups and transcendence degree
• Théorie de Hodge. II. (Hodge theory. II)
• Théorie de Hodge. III
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• Exterior products of zero-cycles
• An Elementary Proof of Suslin Reciprocity
• The Abel–Jacobi map for higher Chow groups

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