Specialization of cycles and the $K$-theory elevator
Specialization of cycles and the $K$-theory elevator
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循环的专业化和 $K$ 理论电梯
DOI：
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发表时间：
2017
影响因子：
1.9
通讯作者：
D. Patel
中科院分区：
文献类型：
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作者：
P. Ángel;C. Doran;J. Iyer;M. Kerr;James D. Lewis;S. Muller;D. Patel
构造了高周群的一般专门化映射，并用于证明代数循环及其调节器的“上升”定理。将所得结果应用于Gross和Schoen的修正对角环的退化，以及2属曲线上坐标符号的退化。
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.