Quotient curves of the GK curve

DOI10.1515/advgeom.2011.046zbMath1239.11067arXiv0909.2582OpenAlexW2962833862MaRDI QIDQ2882932

Massimo Giulietti, Stefania Fanali

Publication date: 11 May 2012

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.2582

zbMATH Keywords

rational pointmaximal curveGK curvequotient curve

Mathematics Subject Classification ID

Curves over finite and local fields (11G20)

Related Items (16)

Maximal curves from subcovers of the GK-curve ⋮ On the genus spectrum of maximal curves over finite fields ⋮ Weierstrass semigroups for maximal curves realizable as Harbater-Katz-Gabber covers ⋮ A complete characterization of Galois subfields of the generalized Giulietti-Korchmáros function field ⋮ Explicit equations for maximal curves as subcovers of the \(BM\) curve ⋮ Further examples of maximal curves which cannot be covered by the Hermitian curve ⋮ Algebraic curves with many automorphisms ⋮ Generalized Weierstrass semigroups at several points on certain maximal curves which cannot be covered by the Hermitian curve ⋮ Automorphisms of curves and Weierstrass semigroups for Harbater–Katz–Gabber covers ⋮ On subfields of the second generalization of the GK maximal function field ⋮ On some Galois covers of the Suzuki and Ree curves ⋮ New examples of maximal curves with low genus ⋮ Quotients of the Hermitian curve from subgroups of \(\text{PGU}(3,q)\) without fixed points or triangles ⋮ On the spectrum of genera of quotients of the Hermitian curve ⋮ On the classification problem for the genera of quotients of the Hermitian curve ⋮ Classification of all Galois subcovers of the Skabelund maximal curves

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