单纯Abel-Jacobi映射与互易律
Simplicial Abel-Jacobi maps and reciprocity laws
摘要：
我们描述了一个明确的态射的复合物，诱导循环类映射（简单描述）高周群理性Deligne上同调。我们为此目的引入的电流所满足的互易定律，提供了一个明确的观点，函数方程满足复值的二和三进制。
英文摘要：
We describe an explicit morphism of complexes that induces the cycle-class maps from (simplicially described) higher Chow groups to rational Deligne cohomology. The reciprocity laws satisfied by the currents we introduce for this purpose are shown to provide a clarifying perspective on functional equations satisfied by complex-valued di- and trilogarithms.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
