2018/10/28 by Efstathia Katsigianni, Katsigianni, Efstathia
Chemistry · Materials Science · Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Crystallography and molecular interactions #Enzyme Structure and Function #FOS: Mathematics
paper · pdf · doi:10.48550/arxiv.1810.11845
openalex publication_date 2018/10/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this article we express the set of rank 1 isocrystals on a proper curve as a subset of the de Rham moduli space, defined by Simpson and Langer. Using results from the theory of Berkovich spaces, we compare the ℓ-adic cohomology of this subspace with the ℓ-adic cohomology of the whole moduli space. This confirms a conjecture of Deligne in the rank 1 case and explains one of his examples in this case from the point of view of isocrystals.