Exponentially twisted de Rham cohomology and rigid cohomology

2021/11/10 by Shizhang Li, Dingxin Zhang, Li, Shizhang +1
Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2111.05689

openalex publication_date 2021/11/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove a comparison theorem between exponentially twisted de Rham cohomology and rigid cohomology with coefficients in a Dwork crystal.

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• Exponential sums and rigid cohomology
• Crystalline cohomology and de Rham cohomology
• Comparison of prismatic cohomology and derived de Rham cohomology
• An integral comparison of crystalline and de Rham cohomology
• Crystalline cohomology of rigid analytic spaces