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.

中文翻译：

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周期的专业化和 $K$ 理论电梯

为更高的 Chow 群构建了一个通用的专业化映射，并用于证明代数循环及其调节器的“上升”定理。结果用于研究 Gross 和 Schoen 的修正对角线循环的退化，以及 2 属曲线上坐标符号的退化。