Eichler-Shimura relations for local Shimura varieties

2021/06/20 by Teruhisa Koshikawa, Koshikawa, Teruhisa
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometry and complex manifolds #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2106.10603

openalex publication_date 2021/06/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note, we discuss several forms of the Eichler-Shimura relation for the compactly supported cohomology of local Shimura varieties, using the work of Fargues-Scholze.

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