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

2022/06/15 by Manuel Hoff
Mathematics · Computer Science · #math.AG

paper · pdf · doi:10.46298/epiga.2025.10263

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.

Related

• EKOR strata on Shimura varieties with parahoric reduction
• Geometry of the Siegel modular threefold with paramodular level structure
• Compactification de varietes de Siegel aux places de mauvaise reduction
• Compactification minimale et mauvaise reduction
• EKOR strata for Shimura varieties with parahoric level structure