三次曲面上的直线范数
代数几何
2018-05-16 v3
摘要
设为一个域，为一个光滑三次曲面。令为有限指数子群，由上直线的范数生成，其中取遍的有限可分扩张。商是3-准素的。若包含一条定义在上的直线，则。
引用
@article{arxiv.1704.05109,
title = {Normes de droites sur les surfaces cubiques},
author = {Jean-Louis Colliot-Thélène and Daniel Loughran},
journal= {arXiv preprint arXiv:1704.05109},
year = {2018}
}
备注
8 pages, in French; now a joint paper with Daniel Loughran; this version supersedes the earlier arXiv text with the same title; to appear in Pure and Applied Mathematics Quaterly (issue in honour of Prof. Manin's 80th birthday)