On the geometry of the Newton stratification

2015/11/10 by Eva Viehmann, Viehmann, Eva · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1511.03156

openalex publication_date 2015/11/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give an expository overview over recent results on the global structure and geometry of the Newton stratification of the reduction modulo p of Shimura varieties of Hodge type with hyperspecial level structure. More precisely, we discuss non-emptiness, dimensions, and closure relations of Newton strata. We also explain the group-theoretic description and methods leading to their proofs.

Cited by

• Lifting Deligne-Lusztig Reduction and Geometric Coxeter Type Elements

Related

• Stratifications in the reduction of Shimura varieties
• On the Newton stratification in the good reduction of Shimura varieties
• Stratifications and foliations for good reductions of Shimura varieties of Hodge type
• Stratifications in good reductions of Shimura varieties of abelian type
• Non-emptiness of Newton strata of Shimura varieties of Hodge type