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

Iwan Duursma; Kit Ho Mak

doi:10.1007/s00574-012-0022-2

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

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Abstract

We show that the generalized Giulietti-Korchmáros curve defined over F _q2n, for n ≥ 3 odd and q ≥ 3, is not a Galois subcover of the Hermitian curve over F _q2n This answers a question raised by Garcia, Güneri and Stichtenoth.

Original language	English (US)
Pages (from-to)	453-465
Number of pages	13
Journal	Bulletin of the Brazilian Mathematical Society
Volume	43
Issue number	3
DOIs	https://doi.org/10.1007/s00574-012-0022-2
State	Published - Sep 2012

Keywords

Galois coverings
generalized GK curves
maximal curves

ASJC Scopus subject areas

Mathematics(all)

Online availability

10.1007/s00574-012-0022-2

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AB - We show that the generalized Giulietti-Korchmáros curve defined over F q2n, for n ≥ 3 odd and q ≥ 3, is not a Galois subcover of the Hermitian curve over F q2n This answers a question raised by Garcia, Güneri and Stichtenoth.

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

Abstract

Keywords

ASJC Scopus subject areas

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