On maximal curves which are not Galois subcovers of the Hermitian curve

DOI10.1007/s00574-012-0022-2zbMath1307.11076arXiv1012.2068OpenAlexW2001952686MaRDI QIDQ1930321

Iwan M. Duursma, Kit-Ho Mak

Publication date: 10 January 2013

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.2068

zbMATH Keywords

Galois coveringsmaximal curvesgeneralized Giulietti-Korchmáros curves

Mathematics Subject Classification ID

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

Related Items (15)

Maximal curves from subcovers of the GK-curve ⋮ Some Ree and Suzuki curves are not Galois covered by the Hermitian curve ⋮ A complete characterization of Galois subfields of the generalized Giulietti-Korchmáros function field ⋮ The automorphism groups of a family of maximal curves ⋮ Further examples of maximal curves which cannot be covered by the Hermitian curve ⋮ On the number of rational points on Artin-Schreier hypersurfaces ⋮ Generalized Weierstrass semigroups at several points on certain maximal curves which cannot be covered by the Hermitian curve ⋮ A note on certain maximal curves ⋮ An \(\mathbb{F}_{p^2 } \)-maximal Wiman sextic and its automorphisms ⋮ On maximal curves that are not quotients of the Hermitian curve ⋮ On the spectrum for the genera of maximal curves over small fields ⋮ The complete list of genera of quotients of the \(\mathbb{F}_{q^2}\)-maximal Hermitian curve for \(q \equiv 1 \pmod 4\) ⋮ On the curve \(y^n = x^m + x\) over finite fields ⋮ The curve \(y^n=x^\ell(x^m+1)\) over finite fields. II ⋮ On the classification problem for the genera of quotients of the Hermitian curve

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