Klein-Four covers of the projective line in characteristic two

Details Klein-Four covers of the projective line in characteristic two Klein-Four covers of the projective line in characteristic two

2006-08-07

arxiv.org/abs/math/0608169v1

Mathematics

Number Theory

Scientific paper

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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