Compactifications of subschemes of integral models of Hodge-type Shimura Varieties with Parahoric level structures

2025/04/11 by Mao, Shengkai · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2504.08574

openalex publication_date 2025/04/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that central leaves, Igusa varieties, Newton strata, Kottwitz-Rapoport Strata, Ekedahl-Kottwitz-Oort-Rapoport strata on the special fiber of a Kisin-Pappas integral model of a Hodge-type Shimura variety with connected parahoric level structure are well-positioned, generalizing some work of Kai-wen Lan and Benoit Stroh.

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• Filtrations of the perverse sheaf of nearby cycles in the semi stable situation

Related

• Boundary structures of integral models of Hodge-type Shimura Varieties
• On central leaves of Hodge-type Shimura varieties with parahoric level structure
• EKOR strata for Shimura varieties with parahoric level structure
• EKOR strata on Shimura varieties with parahoric reduction
• Central leaves on Shimura varieties with parahoric reduction