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On maximal curves and unramified coverings

Rainer Fuhrmann·Arnaldo Garcia·Fernando Torres
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Abstract

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.

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Rainer Fuhrmann, Arnaldo Garcia, Fernando Torres. 2001-05-15. On maximal curves and unramified coverings. https://arxiv.org/abs/math/0105126

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