Every positive integer is the order of an ordinary abelian variety over\n mathbb F₂

2021/03/30 by Everett W. Howe, Howe, Everett W., Kiran S. Kedlaya +1
Computer Science · Mathematics · #11A67 #11G10 (Primary) 14G15 #14K15 (Secondary) #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #FOS: Mathematics #Meromorphic and Entire Functions #Number Theory (math.NT) #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2103.16530

openalex publication_date 2021/03/30 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

We show that for every integer m > 0, there is an ordinary abelian variety\nover mathbb F₂ that has exactly m rational points.\n

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