English

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

Algebraic Geometry 2026-05-27 v4

Abstract

We study the arithmetic geometry of the reduction modulo pp 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.

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Cite

@article{arxiv.2206.07470,
  title  = {The EKOR-stratification on the Siegel modular variety with parahoric level structure},
  author = {Manuel Hoff},
  journal= {arXiv preprint arXiv:2206.07470},
  year   = {2026}
}

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36 pages