Curves covered by the Hermitian curve

DOI10.1016/j.ffa.2004.10.003zbMath1218.11064arXivmath/9803029OpenAlexW2090191241WikidataQ59249229 ScholiaQ59249229MaRDI QIDQ998649

Fernando Torres, J. W. P. Hirschfeld, Massimo Giulietti, Gábor Korchmáros

Publication date: 9 February 2009

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

Full work available at URL: https://arxiv.org/abs/math/9803029

zbMATH Keywords

maximal curvesquotients of Hermitian curve

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15)

Related Items (7)

Quotient curves of the GK curve ⋮ Further examples of maximal curves which cannot be covered by the Hermitian curve ⋮ On the curve \(Y^n= X^{\ell}(X^m + 1)\) over finite fields ⋮ A new family of maximal curves over a finite field ⋮ On the curve \(y^n = x^m + x\) over finite fields ⋮ \(\mathbb{F}_{p^2}\)-maximal curves with many automorphisms are Galois-covered by the Hermitian curve ⋮ The curve \(y^n=x^\ell(x^m+1)\) over finite fields. II

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• Abschätzung der Automorphismenzahl von Funktionenkörpern bei Primzahlcharakteristik
• Weierstrass Points and Curves Over Finite Fields
• Curves of large genus covered by the hermitian curve

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