2006/07/08 by Jinhyun Park, Park, Jinhyun
Mathematics · #14C15 #19D55 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #K-Theory and Homology (math.KT) #Meromorphic and Entire Functions #math.AG #math.KT #msc:14C15 #msc:19D55
paper · pdf · doi:10.48550/arxiv.math/0607220
15 pages. v2: major revision. Notations made coherent. Relationship among several versions of "additive Bloch groups": 1) Cathelineau-Goncharov 2) Bloch-Esnault, and 3) the cycle-theoretic one in this paper, clarified., v3: typos, grammatical errors corrected. Final version to appear in IMRN
openalex publication_date 2006/07/08 · arxiv created 2007/07/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
For an algebraically closed field k of characteristic 0, we give a cycle-theoretic description of the additive 4-term motivic exact sequence associated to the additive dilogarithm of J.-L. Cathelineau, that is the derivative of the Bloch-Wigner function, via the cubical additive higher Chow groups under one assumption. The 4-term functional equation of Cathelineau, an additive analogue of Abel's 5-term functional equation, is also discussed cycle-theoretically.