Chow dilogarithm and strong Suslin reciprocity law

نویسندگان

چکیده

We prove a conjecture of A. Goncharov concerning strong Suslin reciprocity law. The main idea the proof is construction norm map on so-called lifted maps. This similar to Milnor K K -theory. As an application, we express Chow dilogarithm in terms Bloch-Wigner dilogarithm. Also, obtain new law for four rational functions arbitrary algebraic surface with values pre-Bloch group.

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ژورنال

عنوان ژورنال: Journal of Algebraic Geometry

سال: 2023

ISSN: ['1534-7486', '1056-3911']

DOI: https://doi.org/10.1090/jag/811