{ "id": "math/0608169", "version": "v1", "published": "2006-08-07T16:50:13.000Z", "updated": "2006-08-07T16:50:13.000Z", "title": "Klein-Four covers of the projective line in characteristic two", "authors": [ "Darren Glass" ], "categories": [ "math.NT", "math.AG" ], "abstract": "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.", "revisions": [ { "version": "v1", "updated": "2006-08-07T16:50:13.000Z" } ], "analyses": { "keywords": [ "projective line", "klein-four covers", "characteristic" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math......8169G" } } }