Combinatorics of the basic stratum

2012/11/14 by Arno Kret, Kret, Arno · 1 citation
Earth and Planetary Sciences · Mathematics · #Advanced Algebra and Geometry #FOS: Mathematics #Geometric and Algebraic Topology #Number Theory (math.NT) #Representation Theory (math.RT) #earthquake and tectonic studies

paper · pdf · doi:10.48550/arxiv.1211.3323

openalex publication_date 2012/11/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We express the cohomology of the basic stratum of some unitary Shimura varieties associated to division algebras in terms of automorphic representations of the group in the Shimura datum.

Citations

• A guide to the reduction modulo p of Shimura varieties

Cited by

• The cohomology of certain intermediate strata of Kottwitz varieties

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