This is a largely expository article based on our paper [31] on arithmetic diagonal cycles on unitary Shimura varieties. We define a class of Shimura varieties closely related to unitary groups which represent a moduli problem of abelian varieties with additional structure, and which admit interesting algebraic cycles. We generalize to arbitrary signature type the results of loc. cit. valid under special signature conditions. We compare our Shimura varieties with other unitary Shimura varieties.

中文翻译：

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关于志村单一团体的品种

这是一篇很大的说明性文章，是基于我们关于单一Shimura品种的算术对角线循环的论文[31]的。我们定义了与of族密切相关的一类Shimura变体，它们代表具有附加结构的阿贝尔变体的模数问题，并允许有趣的代数循环。我们将loc的结果推广到任意签名类型。cit。在特殊签名条件下有效。我们将Shimura品种与其他单一Shimura品种进行比较。