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Galois modules arising from Faltings's strict modules

2004/03/31 by Victor Abrashkin, Abrashkin, Victor
Computer Science · Mathematics · #14L15 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Number Theory (math.NT) #Polynomial and algebraic computation #math.AG #math.NT #msc:14L15

paper · pdf · doi:10.48550/arxiv.math/0403542

19 pages

arxiv created 2004/03/31 · openalex publication_date 2004/03/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Suppose O is a complete discrete valuation ring of positive characteristic with perfect residue field. The category of finite flat strict modules was introduced recently by Faltings and appears as an equal characteristic analogue of the classical category of finite flat group schemes. In this paper we obtain a classification of these modules and apply it to prove analogues of properties, which were known earlier for group schemes.

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