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arxiv: math/0105126 · v1 · submitted 2001-05-15 · 🧮 math.AG

On maximal curves and unramified coverings

classification 🧮 math.AG
keywords curvemaximalcoveredgivenunramifiedconditionscoveringcoverings
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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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