与Tate序列相关的连接同态
Connecting homomorphisms associated to Tate sequences
摘要：
泰特序列是解决与$S$ -单位群的伽罗瓦结构（不太清楚）相关的问题的重要工具。Ritter和Weiss最近提出的“小$S$“的Tate序列允许人们在不假设$S$类群消失的情况下使用该序列，这是该理论的一个重大进步。与里特和韦斯版本的序列相关联的是泰特上同调中的连接同态，涉及$S$ -类群，这在早期的理论中不存在。本文在集合$S$上的某些假设下，给出了这些连接同态的明确描述.
英文摘要：
Tate sequences are an important tool for tackling problems related to the (ill-understood) Galois structure of groups of $S$-units. The relatively recent Tate sequence "for small $S$" of Ritter and Weiss allows one to use the sequence without assuming the vanishing of the $S$-class-group, a significant advance in the theory. Associated to Ritter and Weiss's version of the sequence are connecting homomorphisms in Tate cohomology, involving the $S$-class-group, that do not exist in the earlier theory. In the present article, we give explicit descriptions of certain of these connecting homomorphisms under some assumptions on the set $S$.
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。
