Incoherent definite spaces and Shimura varieties

2020/05/11 by Benedict H. Gross, Gross, Benedict H · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models

paper · pdf · doi:10.48550/arxiv.2005.05188

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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