On Kummer extensions with one place at infinity

DOI10.1016/j.ffa.2023.102209zbMath1525.14039arXiv2208.09729MaRDI QIDQ6156923

Erik A. R. Mendoza

Publication date: 19 June 2023

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.09729

zbMATH Keywords

Kummer extensionsWeierstrass semigroup

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Riemann surfaces; Weierstrass points; gap sequences (14H55)

Cites Work

• Unnamed Item
• On automorphism groups of cyclotomic function fields over finite fields
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• AG codes from the second generalization of the GK maximal curve
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• On the curve \(Y^n= X^{\ell}(X^m + 1)\) over finite fields
• Fundamental gaps of numerical semigroups generated by two elements.
• Explicit equations for maximal curves as subcovers of the \(BM\) curve
• One- and Two-Point Codes Over Kummer Extensions
• Algebraic Function Fields and Codes
• Algebraic Geometry Codes from Castle Curves
• A generalization of the Giulietti–Korchmáros maximal curve
• A new family of maximal curves
• The automorphism group of the generalized Giulietti–Korchmáros function field

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