abstract:

We develop Hida theory for Shimura varieties of type~A without ordinary locus. In particular we show that the dimension of the space of ordinary forms is bounded independently of the weight and that there is a module of $\Lambda$-adic cuspidal ordinary forms which is of finite type over $\Lambda$, where $\Lambda$ is a twisted Iwasawa algebra.

中文翻译：

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一些没有普通轨迹的单一志村变种的飞騨理论

摘要：

我们为没有普通轨迹的 A 型志村变种开发飞騨理论。特别地，我们证明了普通形空间的维数与权重无关，并且存在一个 $\Lambda$-adic 尖牙普通形的模，它是 $\Lambda$ 的有限类型，其中$ 是一个扭曲的岩泽代数。