ON UNRAMIFIED COVERINGS OF MAXIMAL CURVES by
نویسندگان
چکیده
— We investigate unramified coverings of algebraic curves over a finite field, specially in relation with maximal curves and the question whether maximal curves are covered by the Hermitian curve. Résumé (Sur les revêtements non-ramifiés des courbes maximales). — Nous étudions les revêtements non-ramifiés de courbes algébriques sur un corps fini, en particulier de courbes maximales. Nous nous posons la question de savoir si la courbe hermitienne est un revêtement d’une courbe maximale.
منابع مشابه
On Maximal Curves and Unramified Coverings
We discuss sufficient conditions for a given curve to be covered by a maximal curve with the covering being unramified; it turns out that the given curve itself will be also maximal. We relate our main result to the question of whether or not a maximal curve is covered by the Hermitian curve. We also provide examples illustrating the results. §1. Let X be a projective, geometrically irreducible...
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