未分枝基团仿射delign - lusztig变异的连通分量

IF 1.3 1区数学 Q1 MATHEMATICS

Compositio Mathematica Pub Date : 2023-08-17 DOI:10.1112/S0010437X23007339

S. Nie

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引用次数: 0

摘要

对于一个未分支的还原群，我们确定了仿射旗变种中仿射Deligne–Lusztig变种的连通分量。基于Hamacher、Kim和Zhou的工作，这一结果使我们能够在未分支群的情况下，验证具有准水平结构的Hodge型Shimura变种的Kisin–Pappas积分模型的He–Rapport公理、牛顿地层的几乎乘积结构以及Langlands–Rappoort猜想预测的同胚类的精确描述。

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Connected components of affine Deligne–Lusztig varieties for unramified groups

For an unramified reductive group, we determine the connected components of affine Deligne–Lusztig varieties in the affine flag variety. Based on work of Hamacher, Kim, and Zhou, this result allows us to verify, in the unramified group case, the He–Rapoport axioms, the almost product structure of Newton strata, and the precise description of isogeny classes predicted by the Langlands–Rapoport conjecture, for the Kisin–Pappas integral models of Shimura varieties of Hodge type with parahoric level structure.

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来源期刊

Compositio Mathematica 数学-数学

CiteScore

2.10

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Compositio Mathematica is a prestigious, well-established journal publishing first-class research papers that traditionally focus on the mainstream of pure mathematics. Compositio Mathematica has a broad scope which includes the fields of algebra, number theory, topology, algebraic and differential geometry and global analysis. Papers on other topics are welcome if they are of broad interest. All contributions are required to meet high standards of quality and originality. The Journal has an international editorial board reflected in the journal content.