Chow dilogarithm and strong Suslin reciprocity law
Algebraic Geometry
2023-02-22 v4 K-Theory and Homology
Number Theory
Abstract
We prove a conjecture of A. Goncharov concerning strong Suslin reciprocity law. The main idea of the proof is the construction of the norm map on so-called lifted reciprocity maps. This construction is similar to the construction of the norm map on Milnor -theory. As an application, we express Chow dilogarithm in terms of Bloch-Wigner dilogarithm. Also, we obtain a new reciprocity law for four rational functions on an arbitrary algebraic surface with values in the pre-Bloch group.
Cite
@article{arxiv.2108.11862,
title = {Chow dilogarithm and strong Suslin reciprocity law},
author = {Vasily Bolbachan},
journal= {arXiv preprint arXiv:2108.11862},
year = {2023}
}
Comments
The final version