Specialization of cycles and the $K$-theory elevator

IF 1.2 3区数学 Q1 MATHEMATICS

Communications in Number Theory and Physics Pub Date : 2017-04-16 DOI:10.4310/CNTP.2019.V13.N2.A2

P. Ángel, C. Doran, J. Iyer, M. Kerr, James D. Lewis, S. Muller-Stach, D. Patel

引用次数: 12

Abstract

A general specialization map is constructed for higher Chow groups and used to prove a "going-up" theorem for algebraic cycles and their regulators. The results are applied to study the degeneration of the modified diagonal cycle of Gross and Schoen, and of the coordinate symbol on a genus-2 curve.

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周期的专业化和K理论升降机

构造了高Chow群的一般专门化映射，并用于证明代数环及其调节器的“向上”定理。将结果应用于Gross和Schoen的修正对角循环以及genus-2曲线上坐标符号的退化研究。

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

Communications in Number Theory and Physics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.70

自引率

5.30%

发文量

审稿时长

>12 weeks

期刊介绍： Focused on the applications of number theory in the broadest sense to theoretical physics. Offers a forum for communication among researchers in number theory and theoretical physics by publishing primarily research, review, and expository articles regarding the relationship and dynamics between the two fields.