On the injectivity of cycle maps

DOI10.2977/prims/1195168858zbMath0826.14007OpenAlexW2005221399WikidataQ122989587 ScholiaQ122989587MaRDI QIDQ1318882

Morihiko Saito

Publication date: 27 November 1995

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195168858

zbMATH Keywords

higher Chow groupsBloch's conjecturecycle mapHodge conjecturesmixed Hodge modules of geometric origin

Mathematics Subject Classification ID

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

Cites Work

• Modules de Hodge polarisables. (Polarisable Hodge modules)
• Algebraic cycles and higher K-theory
• Hodge's general conjecture is false for trivial reasons
• On the motive of an algebraic surface.
• Gersten's conjecture and the homology of schemes
• Mixed Hodge modules
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