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

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

2010-12-09

arxiv.org/abs/1012.2068v3

Mathematics

Number Theory

10 pages. Version 3 corrected an error in earlier versions

Scientific paper

We show that the generalized Giulietti-Korchm\'aros curve is not a Galois
subcover of the Hermitian curve over $\mathbb{F}_{q^{2n}}$. This answers a
question raised by Garcia, G\"uneri and Stichtenoth.

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