The EKOR-stratification on the Siegel modular variety with parahoric level structure

We study the arithmetic geometry of the reduction modulo $p$ of the Siegel modular variety with parahoric level structure. We realize the EKOR-stratification on this variety as the fibers of a smooth morphism into an algebraic stack parametrizing homogeneously polarized chains of certain truncated displays. Comment: 36 pages

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Publication Details

Journal
Épijournal de Géométrie Algébrique
Published
2025-03-07
DOI
https://doi.org/10.46298/epiga.2025.10263
Primary Topic
Advanced Algebra and Geometry
Type
article
Field-Weighted Citation Impact
0.00
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article

The EKOR-stratification on the Siegel modular variety with parahoric level structure

Manuel Hoff
Épijournal de Géométrie Algébrique
Advanced Algebra and Geometry
article

The EKOR-stratification on the Siegel modular variety with parahoric level structure

Manuel Hoff
article en

Abstract

We study the arithmetic geometry of the reduction modulo $p$ of the Siegel modular variety with parahoric level structure. We realize the EKOR-stratification on this variety as the fibers of a smooth morphism into an algebraic stack parametrizing homogeneously polarized chains of certain truncated displays. Comment: 36 pages

Épijournal de Géométrie AlgébriqueVol. Volume 9
Openalex Percentile: Top 92%
Advanced Algebra and Geometry
DOIOpen Access PDFOpenAlex
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