Deformation theory for prismatic G-displays

2023/06/08 by Kazuhiro Ito, Ito, Kazuhiro · 1 citation
Computer Science · Engineering · #Computational Geometry and Mesh Generation #Digital Image Processing Techniques #Advanced Numerical Analysis Techniques

paper · pdf · doi:10.48550/arxiv.2306.05361

Abstract

For a smooth affine group scheme G over the ring of p-adic integers and a cocharacter μ of G, we develop the deformation theory for G-μ-displays over the prismatic site of Bhatt-Scholze, and discuss how our deformation theory can be interpreted in terms of prismatic F-gauges introduced by Drinfeld and Bhatt-Lurie. As an application, we prove the local representability and the formal smoothness of integral local Shimura varieties with hyperspecial level structure. We also revisit and extend some classification results of p-divisible groups.

Cited by

• Embeddings of Certain Exceptional Shimura Varieties into Siegel Modular Varieties

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