Chow dilogarithm and strong Suslin reciprocity law

IF 0.9 1区数学 Q2 MATHEMATICS

Journal of Algebraic Geometry Pub Date : 2021-08-26 DOI:10.1090/jag/811

V. Bolbachan

引用次数: 1

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 K K -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.

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Chow对偶与强Suslin互易律

我们证明了a.Goncharov关于强Suslin互易律的一个猜想。证明的主要思想是在所谓的提升互易映射上构造范数映射。这种构造类似于Milnor K-理论上范数映射的构造。作为一个应用，我们用Bloch-Wigner二对数表示Chow二对数。此外，我们还得到了一个新的互易律的四个有理函数在任意代数表面上的值在前Bloch群。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Algebraic Geometry 数学-数学

CiteScore

2.70

自引率

5.60%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Algebraic Geometry is devoted to research articles in algebraic geometry, singularity theory, and related subjects such as number theory, commutative algebra, projective geometry, complex geometry, and geometric topology. This journal, published quarterly with articles electronically published individually before appearing in an issue, is distributed by the American Mathematical Society (AMS). In order to take advantage of some features offered for this journal, users will occasionally be linked to pages on the AMS website.