志村变量的不合理边界
Quelques bords irrationnels de varietes de Shimura
摘要：
我们正在寻找一个制定的Manin的真正的乘法问题在更高的排名。这个问题comports，在我们看来，至少有两个步骤：1.一个正式的线性代数方面的故事在形态的代数群类似志村和德利涅的观点的理论复乘。2.非交换代数几何的著作。我们只对第一步感兴趣，并回顾文献中关于第二步的已知结果。我们的观点也许太天真了，在寻找非交换阿贝尔簇的好概念之前，我们必须知道它们的周期是什么，以及我们想对它们做什么。
英文摘要：
We are looking for a formulation of Manin's real multiplication question in higher rank. This question comports, in our point of view, at least two steps: 1. a formalisation of the linear algebra side of the story in terms of morphisms of algebraic groups analogous to Shimura and Deligne's point of view of the theory of complex multiplication. 2. a work of noncommutative algebraic geometry. We are interested only by the first step, and recall the known results in the litterature on the second one. Our point of view, perhaps too naive, is that before looking for a good notion of noncommutative abelian varieties, we have to know what are their periods and what we want to do with them.
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。
