Twisted Klein curves modulo 2

2003/02/13 by Iwan Duursma, I. M. Duursma, Duursma, I. M.
Computer Science · Mathematics · #14H45 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Computer and information sciences #FOS: Mathematics #Finite Group Theory Research #Information Theory (cs.IT) #Number Theory (math.NT) #cs.IT #math.AG #math.IT #math.NT #msc:14H45

paper · pdf · doi:10.48550/arxiv.math/0302154

14 pages

arxiv created 2003/02/13 · openalex publication_date 2003/02/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give an explicit description of all 168 quartic curves over the field of two elements that are isomorphic to the Klein curve over an algebraic extension. Some of the curves have been known for their small class number, others for attaining the maximal number of rational points.

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