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The Galois group of a projection of a Hermitian curve. (English) Zbl 1140.14304
Summary: For a Hermitian curve $$H$$ in projective plane $$\mathbb P^2$$ and an arbitrary point $$P$$ of $$\mathbb P^2$$, we find out the Galois group of the projection $$H\to\mathbb P^1$$ with center $$P$$. To achieve this aim, we discuss the Galois group of an equation and that of a finite separable morphism between curves in slightly more general context. Moreover, we compute the genus of the so-called Galois-closure curve $$\widetilde{H}_P$$.

MSC:
 14H45 Special algebraic curves and curves of low genus 14H50 Plane and space curves 14H25 Arithmetic ground fields for curves
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