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arxiv: math/0608169 · v1 · submitted 2006-08-07 · 🧮 math.NT · math.AG

Klein-Four covers of the projective line in characteristic two

classification 🧮 math.NT math.AG
keywords curvescharacteristiccoverslineprojectivedefinedequationsexamine
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In this paper we examine curves defined over a field of characteristic 2 which are $(\ZZ/2\ZZ)^2$-covers of the projective line. In particular, we prove which 2-ranks occur for such curves of a given genus and where possible we give explicit equations for such curves.

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