Weierstrass semigroups at every point of the Suzuki curve

DOI10.4064/aa181203-24-2zbMath1460.11089arXiv1811.07890OpenAlexW3092196571MaRDI QIDQ5854697

Maria Montanucci, Daniele Bartoli, Giovanni Zini

Publication date: 17 March 2021

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.07890

zbMATH Keywords

algebraic-geometric codesSuzuki curveWeierstrass semigroups

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Curves over finite and local fields (11G20) Riemann surfaces; Weierstrass points; gap sequences (14H55) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (4)

Weierstrass semigroups on the Skabelund maximal curve ⋮ Explicit equations for maximal curves as subcovers of the \(BM\) curve ⋮ Weierstrass semigroups and automorphism group of a maximal curve with the third largest genus ⋮ On the Zeta function and the automorphism group of the generalized Suzuki curve

Uses Software

• Magma
• GUAVA

Cites Work

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• Twists of genus three curves over finite fields
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• Codes From the Suzuki Function Field
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• Weierstrass Points and Curves Over Finite Fields
• On Weierstrass points and optimal curves
• A new family of maximal curves
• Systematic encoding via Grobner bases for a class of algebraic-geometric Goppa codes
• GUAVA

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