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Algebraic cycles and additive dilogarithm

Jinhyun Park
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Abstract

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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Jinhyun Park. 2007-07-21. Algebraic cycles and additive dilogarithm. https://arxiv.org/abs/math/0607220

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