A characterization of the Artin-Mumford curve

DOI10.1016/j.jnt.2015.02.006zbMath1365.14032arXiv1501.02616OpenAlexW2963693337WikidataQ59249160 ScholiaQ59249160MaRDI QIDQ2343182

Nazar Arakelian, Gábor Korchmáros

Publication date: 4 May 2015

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.02616

zbMATH Keywords

finite fieldsautomorphism groupsalgebraic curves

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Finite ground fields in algebraic geometry (14G15) Automorphisms of curves (14H37)

Related Items (4)

Generalized Artin-Mumford curves over finite fields ⋮ Algebraic curves with many automorphisms ⋮ Large \(p\)-groups of automorphisms of algebraic curves in characteristic \(p\) ⋮ Automorphism group, Galois points and lines of the generalized Artin-Schreier-Mumford curve

Cites Work

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• Algebraic function fields and codes
• Kloosterman sums and the \(p\)-torsion of certain Jacobians
• The p-rank of Artin-Schreier curves
• Equivariant deformation of Mumford curves and of ordinary curves in positive characteristic
• p-Ranks and Automorphism Groups of Algebraic Curves
• Mumford curves with maximal automorphism group
• Discontinuous groups in positive characteristic and automorphisms of Mumford curves

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