关于亏格为 q(q-3)/6 的 F_{q^2}-极大曲线
代数几何
2007-05-23 v2
摘要
我们证明在特征三中，亏格为 q(q-3)/6 的 F_{q^2}-极大曲线要么是一条次数为 q+1 的非自反空间曲线，要么由阿廷-施赖尔型平面模型唯一确定（在同构意义下，精确到 F_{q^2}-同构）。
引用
@article{arxiv.math/0109044,
title = {On a F_{q^2}-maximal curve of genus q(q-3)/6},
author = {Miriam Abdon and Fernando Torres},
journal= {arXiv preprint arXiv:math/0109044},
year = {2007}
}
备注
11 pages, LaTeX, available at http://www.ime.unicamp.br/~ftorres/articles.html; We correct several misprints: one of them was the equation of the curve whose unicity was claimed; we also give a more detailed proof of the main result