Arithmetic D-modules over Laurent series fields: absolute case

2021/03/18 by Daniel Caro, Caro, Daniel
Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2103.10362

openalex publication_date 2021/03/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let k be a perfect field of characteristic p>0. Within Berthelot's theory of arithmetic D-modules, we construct a p-adic formalism of Grothendieck's six operations for quasi-projective schemes over Spec k[[t]].

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• Arithmetic D-modules over algebraic varieties of characteristic p>0
• Arithmetic D-modules on locally noetherian formal schemes
• The θ-adics
• Arithmetic \D-modules and Representations
• Grothendieck rings of Laurent series fields