On a theorem of Scholze-Weinstein

2018/10/09 by Vladimir Drinfeld, Drinfeld, Vladimir · 3 citations
Mathematics · #14L05 #Advanced Operator Algebra Research #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1810.04292

openalex publication_date 2018/10/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let G be the Tate module of a p-divisble group H over a perfect field k of characteristic p. A theorem of Scholze-Weinstein describes G (and therefore H itself) in terms of the Dieudonne module of H; more precisely, it describes G(C) for "good" semiperfect k-algebras C (which is enough to reconstruct G). In these notes we give a self-contained proof of this theorem and explain the relation with the classical descriptions of the Dieudonne functor from Dieudonne modules to p-divisible groups.

Citations

• Topological Hochschild homology and integral p-adic Hodge theory

Cited by

• Formal smoothness of the Artin-Mazur formal groups
• Some applications of the Nygaard filtration and quasisyntomic descent in positive characteristic
• F-isocrystals of Higher Direct Images of p-Divisible Groups

Related

• New methods for (phi, Gamma)-modules
• Secondary multiplication in Tate cohomology of certain p-groups
• G-displays of Hodge type and formal p-divisible groups
• Smoothness of the truncated display functor
• Canonical Barsotti-Tate Groups of Finite Level