Lectures on Hodge theory and algebraic cycles

DOI10.1007/s40304-015-0080-zzbMath1346.14025OpenAlexW2410106971MaRDI QIDQ726684

James D. Lewis

Publication date: 13 July 2016

Published in: Communications in Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40304-015-0080-z

zbMATH Keywords

regulatorAbel-Jacobi mapHodge theoryChow groupalgebraic cycleDeligne cohomologyBeilinson-Hodge conjectureBloch-Beilinson filtration

Mathematics Subject Classification ID

Algebraic cycles (14C25) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Algebraic cycles and motivic cohomology ((K)-theoretic aspects) (19E15) 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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• Beilinson's Hodge Conjecture for Smooth Varieties
• Simplicial Abel-Jacobi maps and reciprocity laws
• Algebraic cycles and Mumford-Griffiths invariants
• The Abel–Jacobi map for higher Chow groups

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