Binary curves of small fixed genus and gonality with many rational points

DOI10.1016/j.jalgebra.2022.01.008OpenAlexW3025765318MaRDI QIDQ2075925

Xander Faber, Jon Grantham

Publication date: 16 February 2022

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.07054

zbMATH Keywords

gonalitycurves over finite fields

Mathematics Subject Classification ID

Curves over finite and local fields (11G20)

Related Items (3)

On abelian covers of the projective line with fixed gonality and many rational points ⋮ Curves of fixed gonality with many rational points ⋮ Computing binary curves of genus five

Uses Software

• Magma
• SageMath
• manYPoints

Cites Work

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• The Magma algebra system. I: The user language
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• Gonality of modular curves in characteristic \(p\)
• Uniqueness of low genus optimal curves over F_2
• Lines on Cubic Hypersurfaces Over Finite Fields
• Point counting on curves using a gonality preserving lift
• Tables of curves with many points
• Central Simple Algebras and Galois Cohomology
• Untersuchungen über quadratische Formen in Körpern der Charakteristik 2. (Teil I.).

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