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
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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。
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来源期刊
Communications in Number Theory and Physics
Communications in Number Theory and Physics MATHEMATICS, APPLIED-MATHEMATICS
CiteScore
2.70
自引率
5.30%
发文量
8
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.
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