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arXiv · 2005.05188

Incoherent definite spaces and Shimura varieties

Benedict H Gross
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Abstract

In this paper, we introduce the notion of incoherent definite orthogonal and Hermitian spaces, and use their neighboring spaces as a tool for the local study of orthogonal and unitary Shimura varieties. This generalizes earlier work, using incoherent definite quaternion algebras in the local study of Shimura curves.

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Benedict H Gross. 2020-05-11. Incoherent definite spaces and Shimura varieties. https://arxiv.org/abs/2005.05188

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