Algebraic cycles and additive dilogarithm

Details Algebraic cycles and additive dilogarithm Algebraic cycles and additive dilogarithm

2006-07-08

arxiv.org/abs/math/0607220v3

Mathematics

Algebraic Geometry

15 pages. v2: major revision. Notations made coherent. Relationship among several versions of "additive Bloch groups": 1) Cath

Scientific paper

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.

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