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arxiv: 1012.2068 · v3 · pith:IP2U6BF3new · submitted 2010-12-09 · 🧮 math.NT · math.AG

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

classification 🧮 math.NT math.AG
keywords curvegaloishermitiananswersaroscurvesgarciageneralized
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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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