Algebraic cycles and additive dilogarithm
| dc.creator | Park, Jinhyun | |
| dc.date | 2006-07-08 | |
| dc.date | 2007-07-21 | |
| dc.date.accessioned | 2026-07-07T08:19:17Z | |
| dc.date.available | 2026-07-07T08:19:17Z | |
| dc.description | 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. | |
| dc.description | 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 | |
| dc.identifier | https://arxiv.org/abs/math/0607220 | |
| dc.identifier | http://arxiv.org/abs/math/0607220 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/134709 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | K-Theory and Homology | |
| dc.subject | 14C15; 19D55 | |
| dc.title | Algebraic cycles and additive dilogarithm | |
| dc.type | text |