标题： 关于仿射Deligne-Lusztig簇（parahoric $(\mathcal{G}, μ)$-显示） 显示英文标题

标题： On parahoric $(\mathcal{G}, μ)$-displays

摘要： 我们发展了研究$p$-可除群空间以及带有附加结构的阿贝尔簇的工具。更具体地说，我们将 Pappas 给出的仿射（Dieudonné）$(\mathcal{G}, \mu)$-显示的定义推广到基环未必是$p$-无挠的情形，并且引入了$(m, n)$-截断的$(\mathcal{G}, \mu)$-显示的概念。然后我们研究了 Dieudonné$(\mathcal{G}, \mu)$-显示的变形理论。 作为一项应用，我们将 Hodge 类型的 Kisin-Pappas 整数 Shimura 变种特殊纤维的 EKOR 分层实现为一个平滑态射的纤维，该态射映射到代数叠模$(2, 1\text{-}\mathrm{rdt})$-截断的$(\mathcal{G}, \mu)$-显示上。 显示英文摘要

摘要： We develop tools to study spaces of $p$-divisible groups and Abelian varieties with additional structure. More precisely, we extend the definition of parahoric (Dieudonn\'e) $(\mathcal{G}, \mu)$-displays given by Pappas to not necessarily $p$-torsionfree base rings and also introduce the notion of an $(m, n)$-truncated $(\mathcal{G}, \mu)$-display. Then we study the deformation theory of Dieudonn\'e $(\mathcal{G}, \mu)$-displays. As an application we realize the EKOR stratification of the special fiber of a Kisin-Pappas integral Shimura variety of Hodge type as the fibers of a smooth morphism into the algebraic stack of $(2, 1\text{-}\mathrm{rdt})$-truncated $(\mathcal{G}, \mu)$-displays.