2023/01/29 by Lance Gurney, Gurney, Lance
Mathematics · Pharmacology, Toxicology and Pharmaceutics · #14F30 #14F40 #Advanced Mathematical Identities #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Alkaloids: synthesis and pharmacology #FOS: Mathematics #Number Theory (math.NT)
paper · pdf · doi:10.48550/arxiv.2301.12392
openalex publication_date 2023/01/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The aim of this article is to given an extension of the prismatization functor for p-adic formal schemes (whose construction was first sketched by Drinfeld and then given by Bhatt-Lurie) to all schemes over Spec(Z). We then prove some basic properties of this extension (algebraicity, flatness for syntomic morphisms, perfectness of cohomology) and show that for smooth schemes over Q this construction recovers (a version of) the filtered de Rham stack.