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arXiv · 1711.05546

Hida theory over some unitary Shimura varieties without ordinary locus

Riccardo Brasca·Giovanni Rosso
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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.

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Riccardo Brasca, Giovanni Rosso. 2017-11-15. Hida theory over some unitary Shimura varieties without ordinary locus. https://arxiv.org/abs/1711.05546

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