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Regular version of the site

Working paper

Chow dilogarithm and reciprocity laws

arXiv:2108.11862 [math.AG]. math.AG. Cornell University, 2021
We prove a conjecture of A. Goncharov about so-called strong reciprocity laws. The main idea of the proof is the construction of the norm map on these strong reciprocity laws. This construction is very similar to the construction of the norm map on Milnor K-theory. As an application, we prove a new relation for Bloch-Wigner dilogarithm parameterized by four non-zero rational functions on any smooth projective algebraic surface.