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

Manuel Hoff

doi:10.46298/epiga.2025.10263

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

epiga:10263 - Épijournal de Géométrie Algébrique, March 7, 2025, Volume 9 - https://doi.org/10.46298/epiga.2025.10263

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

Authors: Manuel Hoff

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

https://doi.org/10.46298/epiga.2025.10263

Source: arXiv.org:2206.07470

Volume: Volume 9

Published on: March 7, 2025

Accepted on: August 10, 2024

Submitted on: November 7, 2022

Keywords: Mathematics - Algebraic Geometry, 14G35

Licence: Attribution-ShareAlike 4.0 International (CC BY-SA 4.0)